Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Lines M And N Are Parallel, As Shown In The Diagram Below. What Are The Measures Of Angles A And B?

Answers

Answer 1

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

Angles in a triangle add up to 180°Alternate angles are equal

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55°  + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

Answer 2

The solution is : the measures of angles A and B are:

A = 55° and B = 60°

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

We know that 55+ b+ other angle = 180 since they make a straight line

The other angle = 65 since they are alternate interior angles

55+ B+ 65 = 180

Combine like terms

120 + B = 180

B = 60

A + B + 65 = 180

interior angles of a triangle must equal 180 degrees

A +60+ 65 =180  

Combine like terms

A +125 = 180

A = 55

Hence, The solution is : the measures of angles A and B are:

A = 55° and B = 60°

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Related Questions

A man is 26 years older than his son. He is also 8 years older than three times his son’s age. Find the son’s age. A. 9 years B.10 years C. 12 years D. 14 years​

Answers

Answer:

9 years

Step-by-step explanation:

hope it helps the

the explanation is kinda long

Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n

Answers

Answer:

a. -17 -9n

Step-by-step explanation:

Question written clearly below:

Which answer choice is equivalent to the expression below?

-7(2+n)+1/3(-9-6n)

a.-17 -9n

b, -14-12n

c. 11+5n

d. 14+2n

Solution

-7(2+n)+1/3(-9-6n)

Open parenthesis

(-14-7n)+(-9/3-6/3n)

= -14-7n+(-3-2n)

= -14-7n-3-2n

Collect like terms

= -14-3-7n-2n

= -17-9n

The answer is option a. -17 -9n

Answer:

-17 -9n

Step-by-step explanation:

i got it right on edge

Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements?

A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4

Answers

The Answer is A.)

A picture of my answer

17.A company produces three sizes of a dog
25 house: small, medium, and large. The
small dog house sells for $80, the
medium size for $110, and the large for
$140. The small dog houses cost $50
each to make, medium $70 each, and
large $79 each. Let s represent the
number of small size dog houses, m
represent the number of medium size
dog houses and L represent the number
of large size dog houses. Write an
expression in simplest form for the net
profit.

Answers

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour

Answers

Answer

24 frames per second

Step-by-step explanation:

Total frames=86,400

Total time=1 hour

Find frame per second

1 hour= 60 minutes*60 seconds

1 hour=3600 seconds

Frame per second=Total frames/Total number of seconds

=86,400/3600

=24 frames per second

Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.

Answers

y=f(x-2)+8

This has to do with function transformations. First we can set it up differently, where we are solving for y instead of f(x)
y=f(x)+8
The points of the graph are (x, f(x)+8)
To move the graph to the right, we need to subtract by 2 within the parentheses
y=f(x-2)+8
Now the point would be like (x, f(x-2)+8)

Answer:

[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===========================================

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6

Which property justifies this statement?

If x=3, then x−3=0.

Answers

Answer:

Step-by-step explanation:

identitiy property

Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find (u/v) + (v/u)

Answers

Answer:

=-0.809

Step-by-step explanation:

3x^2+5x+7=0 complete the square

3x^2+5x=-7 divide both sides by 3

x^2+5/3 x = -7/3  to complete the square add term(b/2)^2=((5/3)/2)²=25/36

X^+5/3 x+25/36=-7/3 +25/36 factorize

(x+5/6)²= -59/36

x+5/6= + or - √59/36

solution for x= -5/6-√59/6i  (u) OR -5/6+√59/6i (v)

u/v + v/u=(-5/6-√59/6i)/(-5/6+√59/6i) +(-5/6+√59/6i)/(-5/6-√59/6i)=-17/21

=-0.809

Answer:

[tex]\large \boxed{\sf \ \ \ -\dfrac{17}{21}=-0.80952... \ \ \ }[/tex]

Step-by-step explanation:

Hello,

First of all we can verify that 0 is not a solution of the equation so that we can divide by u or v

[tex]\dfrac{v}{u}+\dfrac{u}{v}=\dfrac{u^2+v^2}{uv}=\dfrac{(u+v)^2-2uv}{uv}=\dfrac{(u+v)^2}{uv}-2[/tex]

And we know that

[tex]u+v=-\dfrac{5}{3}\\\\uv=\dfrac{7}{3}\\\\\\as \ \ (x-u)(x-v)=x^2-(u+v)x+uv[/tex]

So it comes

[tex]\dfrac{v}{u}+\dfrac{u}{v}=\dfrac{5^2*3}{7*3^2}-2=\dfrac{25-42}{21}=-\dfrac{17}{21}=-0.80952...[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Factor .
X2-x-56=0

PLEASE HELP!!!

Answers

Answer:

use factoring x (see attachment)

-8 x 7 = -56

-8 + 7 = -1

(x - 8)(x + 7) = 0

x = 8, -7

hope this helps :)

I would like to say that people need to work harder on writing good answers.

Answers

Answer:

Yes, it can.

Step-by-step explanation:

Looking at this table, we can see that each type of hat is ALWAYS next to the same type of flower.

Berets are ALWAYS next to Daffodils.

Panamas are ALWAYS next to Sunflowers.

Cloches are ALWAYS next to Violets.

Bowlers are ALWAYS next to Irises.

Fedoras are ALWAYS next to Narcissuses.

If we assume that every type of FLOWER is a number and every type of HAT is also a number, these will all match up.

So, they are consistent.

This means that the type of flower can be represented as a function of the type of hat.

Hope this helped!

Answer:

No

Step-by-step explanation:

There is not a known causation or correlation between the two variables.

The side length of each square is 6 units. Find the areas of the inscribed shapes.

Answers

Answer:

a) 18

b) 20

c) 12

d) 12

Step-by-step explanation:

a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18

b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20

c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12

d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12

Which statement about this figure is true? Pls give an explanation

Answers

Answer:

The correct option is;

It has no reflectional symmetry

Step-by-step explanation:

Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror

Lines of reflectional symmetry can be found in squares, circles, and triangles

The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry

Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.

Which of the following is not an identity for tan (X/2)

Answers

Answer:

This question is about half-angle trigonometric identities, which are specific formulas that help us to solve problems with half-angles.

In this case, if you need a half-angle identity for the tangent, you could use

[tex]tan(\frac{x}{2} )=\frac{sin(x)}{1+cos(x)}[/tex]

[tex]tan(\frac{x}{2})=\frac{1-cos(x)}{sin(x)}[/tex]

[tex]tan(\frac{x}{2})=\sqrt{\frac{1-cos(x)}{1+cos(x)} }[/tex]

Therefore, the right identity must satisfy the expression above.

Answer:

In picture

Step-by-step explanation:

In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?

Answers

Answer:18

Step-by-step explanation:

There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Since we know that

1 Quarter = 0.25 of Dollar

1 Dime = 0.10 of Dollar

1 Nickel = 0.05 of Dollar

Let's say we make Q number of the quarter, D number or dime, and N number of nickel.

Then equation formed will be

0.25Q + 0.10D + 0.05N = 0.75

From it is clear that the possible outcomes are

Qarteres =1, Dime =1, Nickel =2

Qarteres =1, Dime =2,Nickel = 4

Qarteres =1,Dime =3, Nickel = 6

Qarteres =1,Dime =4, Nickel = 8

Qarteres = 2, Dime =1,Nickel = 1

Qarteres = 2, Dime =2, Nickel = 3

Hence there will be a total of 6 outcomes.

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52.85 rounded to the nearest tenth

Answers

Answer: 52.9

Step-by-step explanation:

The value 5 is rounded up.

Hope it helps <3

Answer:

52.9

Step-by-step explanation:

round up using the last number. since its 5, you round up

Here are two sets of cards.
X has the same value on both cards.
Each set of cards has a range of 4.
Work out the value of X

Answers

Answer:

3

Step-by-step explanation:

In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.

A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?

Answers

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

There are 60 minutes in 1 hour.

60 ÷ 3 = 20

12 × 20 = 240

In one hour, the airplane could fly at 240 miles.

2.) Calculate x, to the nearest tenth of a meter​

Answers

Answer:

63.4°

Step-by-step explanation:

The following data were obtained from the question:

Opposite = 6 cm

Adjacent = 3 cm

Angle x =?

The value of angle x can be obtained as follow:

Tan x = Opposite/Adjacent

Tan x = 6/3

Tan x = 2

Take the inverse of Tan.

x = Tan¯¹ 2

x = 63.4°

Therefore, the value of angle x is 63.4°

Answer:

63.4°

Step-by-step explanation:

Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing, and they are losing by 1 goal. In the past, when losing by 1 goal, Hope has pulled a defender out of the game and replaced her with a forward a total of 9 times. When in the same position, she has left the defender in the game 10 times. In the situations when Hope has pulled her defender, the team has lost 4 times, tied 2 times, and won 3 times. In situations when she has left her defender in the game, the team has lost 1 time, tied 3 times, and won 6 times. Based on the information above, if the goal is to either tie or win the game, should Hope pull the defender or leave her in the game?

Answers

Answer:

Hope should not pull her defender.

Step-by-step explanation:

When Hope has pulled her defender:

The team had lost 4 times, tied 2 times, and won 3 times.

Hence, the total number of times she meets her goal is:

6 times (Since the goal is to either tie or win the game )

Hence, the probability that she meets her goal is =   6/9=2/3=0.66

When she  left her defender in the game:

The team has lost 1 time, tied 3 times, and won 6 times.

Hence, the total number of times she meets her goal is: 9

Hence, the probability that she meets her goal is: 9/10=0.9

As the probability of meeting her goal is more when she left her defender in the game is more.

 Hence, Hope should not pull her defender.

plzzz helpp ASAP 1. Why is it important to know what the limitations of a particular model are? A. so you can create a prototype based on your model B. so you don't make the mistake of confusing an object and a system C. so you can revise your model to represent every property of the real thing D. so you don't confuse properties of the model with properties of the real thing

2. Mathematical and computer models are similar because both involve _____. A. using calculations to represent an object or system B. comparisons between an object or system and something familiar C. building a complex object or system isolated from the natural world D. creating real-life objects that show features of the modeled object or system

3. Some models can illustrate a system. What does the term system refer to? A. a collection of interacting things B. a set of rules or laws about things C. something with advantages and limitations D. something illustrating parts of a real-life thing

4. J.J. Thomson's Plum Pudding Model is an example of _____. A. a picture B. an analogy C. a prototype D. a mathematical model

5. An advantage of describing a cell as being like a factory is that it _____. A. makes cells easier to understand B. shows the limitations of cells clearly C. prevents having to study the complexities of cells D. is cheaper to do experiments in a factory than on a cell

6. Scientists like using models because they are often _____ than the real thing. A. more accurate B. more enjoyable to study C. cheaper and more complex D. cheaper and easier to work with

7. An advantage of J.J. Thomson's Plum Pudding Model was that it _____. A. was a much less expensive way to study atoms B. simplified the calculations necessary to describe an atom C. clearly explained where electrons were located in an atom D. is much less expensive to bake a plum pudding than to look at an atom

8. A small clay model of a volcano is an example of _____. A. an analogy B. a prototype C. a physical model D. a computer model

9. An advantage of using a model instead of the real thing is that models _____. A. include better detail B. can be easier to change C. are much more interesting to study D. don't include any features of the real thing

Answers

Answer:

D. so you don't confuse properties of the model with properties of the real thing.

2-Mathematical and computer models are similar because both involve using calculation to represent an object or system

3- Some models can illustrate a system. What does the term system refer to

A. a collection of interacting things

4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy

5. An advantage of describing a cell as being like a factory is that it _____

A. makes cells easier to understand

6- C. cheaper and more complex

7-C. clearly explained where electrons were located in an atom

8-C. a physical model

9-B. can be easier to change

GOOD LUCK

The speed at which a bike travels can be determined by the formula s=d/t, where S represents speed, D represents distance, and T represents time. Select yes or no to indicate if the measurement unit given is an appropriate measurement unit for the speed at which a bike travels

Answers

Answer:

Yes, No, Yes

Step-by-step explanation:

Yes for m/s which is meters per second.

No for min/ft which is reversed and should be feet per minute.

Yes for km/h which is kilometers per hour.

The correct unit for speed is distance per time.

Answer:

MPH

Step-by-step explanation:

(ii) Atrader gets a profit of 20% by selling an item for £ 150. Find the buying in price.
(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of
£ 20000 find the total amount that he has to repay after one year.
(a) Six workers can build a wall in 10 days. At the same rate how many
workers are needed to complet in 4 days.
(c) How many extra workers to be employed ?

Answers

Answer:

ii) £120

iii) £2,400

a) 10 workers

c) 4 workers more to be employed.

Step-by-step explanation:

ii) To find the buying price we deduct 20% (percent) from the selling price of £150.

= 20/100 x 150

= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120

iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as

12% or 12/100 x 20,000 = £2,400

a) Put simply, we create an equation for the problem.

4 men * 10 days = 40 man days.

X men * 4 days = 40 man days.

Let's substitute the equation:

(X/ 4) * (4/ 10) = 40 / 40

(X/4) * 0.4= 1 (collect like terms)

0.4 * x = 4

0.4x/0.4= 4/0.4

x = 10 workers.

(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).

another scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?

Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answers

Answer:

last option

Step-by-step explanation:

Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Kabir wants to know the volume of a solid right pyramid with a square base.

Answers

oooo kabir good luck!

Please help mee What is the smallest positive integer whose proper divisors add up to more than the integer itself?

Answers

Answer:

12

Step-by-step explanation:

The proper divisors of 12 are

1 2 3 4 6

Add those together you get 16

I need the answer now

Answers

Answer:

             i) TRUE

             ii) TRUE

             iii) TRUE

Step-by-step explanation:

[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]

[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]

[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]

[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]

Answer:  see proofs below

Step-by-step explanation:

7i)  (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c²  →  a²b² - b²c²

  + (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c²   →             b²c²  - a²c²

  + (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b²  →                      a²c² - a²b²

                                                                             =   a²b² +  0   +   0   - a²b²

                                                                             = 0

7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac²           - a²b - abc - a²c

  + b(a² + b² + c² - ab - bc - ca) = b³ - ab²          + bc² + a²b - abc           - b²c

  + c(a² + b² + c² - ab - bc - ca) = c³           - ac² - bc²           - abc  + a²c + b²c

                                 =  a³ + b³ + c³  + 0     + 0   + 0     + 0   - 3abc + 0   + 0

                                  = a³ + b³ + c³ - 3abc

7iii) p(p² + pq + q²) = p³ + p²q + pq²

    -q(p² + pq + q²) =     - p²q  -  pq² - q³

                              = p³   + 0    + 0    - q³

                              = p³ - q³

The monthly membership fee for a social club is $10.00. A member is charged an additional fee whenever he or she participates in a social event organized by the club. The additional fee for participation is $35.00 per event. For one month, Amanda was charged $115.00. In how many social events did Amanda participate during the month?

Answers

Amanda participated in 3 social events. Since $10 is the membership fee you can subtract 115-10= 105. So if $105 dollars were spent on social events and each one costs $35 then 105/35= 3.

The number of social events will be 3.

What is an expression?

Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.

Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.

The number of events will be calculated as follows:-

TC = 10 + 35N

115 = 10 + ( 35 x N)

N = ( 115 - 10 ) / 35

N = 105 / 35 = 3

Therefore, the number of social events will be 3.

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What is the vertex of the quadratic equation below? y=x^2-8x+1 Explanation?

Answers

To find the vertex, you need to find the axis of symmetry first.

In order to find the axis of symmetry we have to do -b/2a.

In our case, the b is -8 and the a is 1.

Plug it in.

-(-8)/2(1)

8/2 = 4

Our axis of symmetry is 4.

Now, we plug it into the equation to find the rest of the vertex.

y = 4^2 - 8(4) + 1

y = 16 - 32 + 1

y = -16 + 1

y = -15

Put it together.

Our vertex is (4,-15).

Because 10 is a multiple of 90

Answers

Answer: 10 is a multiple of 90

Step-by-step explanation:

90/10 = 9.  Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.

Hope it helps <3

Answer:

Step-by-step explanation

:

Why is 10 a multiple of 90?

simply

10 · 9 = 90

Jules adds a border around his mirror. The mirror is shaped like a triangle. Each side is 35\,\text{cm}35cm35, start text, c, m, end text long. How long is the border?

Answers

Answer:

105 m

Step-by-step explanation:

Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.

The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.

Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m

Perimeter of mirror = length of border to add = 105 m

The border is 105 m long.

Other Questions
In 35 complete sentences, thoroughly describe a conflict you have faced in your own life and how you changed as a result. Provide at least two specific details to show how you changed as a result of the conflict. The story is "the rule of the game" If we assume that asset X has an expected return of 10 and a variance of 10, then its coefficient of variation is: You are a project manager for Laredo Pioneer's Traveling Rodeo Show. You're heading up a project to promote a new line of souvenirs to be sold at the shows. You are getting ready to write the project management plan and know you need to consider elements such as policies, rules, systems, relationships, and norms in the organization. Which of the following is not true? A These describe the authority level of workers, fair payment practices, communication channels, and the like. B This describes organizational governance framework. C This describes management elements. D This is part of the EEF input to this process. What is the potential energy in joules of a 12 kg ( mass ) at 25 m above a datum plane ? During the month of April, direct labor cost totaled $15,000 and direct labor cost was 40% of prime cost. If total manufacturing costs during April were $77,000, the manufacturing overhead was: You need a 30-year, fixed-rate mortgage to buy a new home for $320,000. Your mortgage bank will lend you the money at a 6.15 percent APR for this 360-month loan. However, you can afford monthly payments of only $1,600, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. How large will this balloon payment have to be for you to keep your monthly payments at $1,600? Please show and explain all work. Identify and discuss 2-3 key elements to consider when evaluating poll results. The three types of hazards that make food unsafe areO biological, environmental, and chemical.O biological, chemical, and sanitary.O chemical, physical, and environmental.O chemical, physical, and biological. help please ......... 4. You work for an advertising company and have been hired to place a blimp above a football stadium. The angle of elevation from a point directly under the goal post is 72 and the blimp will be directly above the 50 yard line. a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line? b. How high above the ground is the blimp? c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet. Will the fans be able to read the advertisement? If not, what possible angle of elevation could we use? d. What is the exact angle if the blimp is at 150 feet? Image C: nervous tissueImage D: muscle tissuePart ABased on the words connective tissue and the arrangement of cells in image B, what is this tissue'sfunction in the body?HolaBI U XFont SizesASEEAP When a security is being registered under coordination, all of the following are required EXCEPT A) filing with the Administrator of a statement of the maximum and minimum proposed offering price and maximum underwriting discounts or commissions concurrently with the filing of the registration statement with the SEC B) payment of the appropriate fee C) a description of the proposed use of the proceeds of the underwriting D) prompt filing with the Administrator of any amendments filed with the SEC Use Demoivres Theorem to find (-square root 3 +i)^6 Which option is equal to 7 1/5 Which of the following represents a function What's the answer to this question? Which function would represent the absolute value function that is equivalent to this piecewise function? How did the purposes of the Marshall Plan and NATO differ?A. The Marshall Plan was a Soviet organization, while NATO was anAmerican organization.B. The Marshall Plan was oriented toward Latin America, while NATOwas oriented toward Europe.C. The Marshall Plan was an international alliance, while NATO wassolely AmericanD. The Marshall Plan was economic, while NATO was militarilyoriented Nongovernmental organizations are usually willing to quickly align themselves with intervening military forces in order to ensure their ability to achieve their objectives and for their physical security.a) trueb) false The administration of Midwest State University wants to know if the arrangement of chairs affects student participation in classrooms. What would be a good operational definition of the dependent variable in an experiment designed to measure this relationship