what is 398+8967 i need help with this

A) The value of the measure of angle x is; x = 55 degrees.

B) The way we got x is that the Internal angle between 2 parallel lines are equal and also that the three angles APO, x and BPR form a straight line and they sum up to 180 degrees.

A) From the given image attached, we see that the angle RPB can be calculated as;

m∠RPB = 180 - 120 = 60 degrees.

This is because sum of angles on a straight line sums up to 180 degrees.

Now, by definition of alternate angles, we can say that angle BPR is equal to 60 degrees.

Thus, the value of angle x is;

x =  180 - 60 - 65

x = 55 degrees.

B) From the given diagram, we can say that;

m ∠RPB + m < PRD = 180 degrees

This is because Internal angle between 2 parallel lines are equal.

Secondly the three angles APO, x and BPR form a straight line and they sum up to 180 degrees.

Read more about missing angles at; https://brainly.com/question/20387554

#SPJ1

The absolute value equation graphed is defined by the rule given as follows:

y = |x - 3| + 6.

The function graphed is an absolute value equation, due to it's v format.

The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:

y = |x - h| + k.

On the graph, this vertex is the turning point of the absolute value function.

For the graphed function, the coordinates of the vertex are given as follows:

Then the coordinates of the vertex are:

(3,6).

The equation of the graphed absolute value function is:

y = |x - 3| + 6.

More can be learned about the absolute value equation at https://brainly.com/question/17795998

#SPJ1

Answer: It is b

Step-by-step explanation:

Answer: 126.5

Step-by-step explanation:

This is Pythagoras theorem so a² + b² = c²

c² is always the diagonal bit

The soccer field is rectangle and draw the route of the players on and you get the triangle

a = 120

b = 40

c² = a² + b² (square root after)

120² + 40² = 16000

Then square root that to get 126.5

I hoped this helped so please thank and rate :)

The statements is true of the function f(x)= x^2 + 6x^3 - 4 + 2x^5 is C.the graph has exactly one x-intercept

It is shown that the function has one intercept in the x direction by plotting the graph of the polynomial

The graph showed one x intercept is at the coordinate (0.778, 0)

x intercept refers to the value of x when y is zero

The graph is plotted and attached

Learn more about x intercept here:

https://brainly.com/question/29461321

#SPJ1

The inequality of the graph represented in the figure is y ≥ 1/2x

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (0, 0) and (2, 1)

This can be re-expressed as

(x, y) = (2, 1)

The slope is then calculated as

Slope = y/x

This gives

Slope = 1/2

The equation is then calculated as

y = Slope * x

So, we have

y = 1/2x

On the graph, we can see that the upper part of the graph is shaded and the line is a thick line

This means that the inequality expression is ≥

So, we have

y ≥ 1/2x

Hence, the inequality of the graph is y ≥ 1/2x

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

The greatest number of costumes the dance group can make is 15.

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

With the help of trignometric identities we can say that the answer is = 0.672355, nearly.

acc to our question-

Learn more about trignometric equation:

brainly.com/question/24496175

#SPJ13

The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6.

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.

As per the given,

Let's say the cost per pound of strawberry taffy is "s" and the cost per pound of banana taffy is "b".

Then, the cost of 8 pounds of strawberry taffy and 3 pounds of banana taffy will be,

8s + 3b = 66

And,

The cost of 10 pounds of strawberry taffy and 3 pounds of banana taffy will be,

10s + 3b = 78

By solving both above equations,

2s = 12

s = $6

3b = 78 - 10(6)

b = $6

Hence, "The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6".

For more about the equation,

https://brainly.com/question/10413253

#SPJ1

The expression for the sum is (12 + n).

We are given two terms to add. The first number is 12, which is an integer. The second number is unknown. An integer is a number that has no decimal or fractional portion and can be negative or positive, including zero.

The second number is represented by a variable "n". A variable is a mathematical object's symbol and placeholder. A variable can, for example, represent an integer, a vector, or other data.

We need to write the expression for the sum of these two numbers. Let S represent the sum of these two numbers.

S = 12 + n

To learn more about sum, visit :

https://brainly.com/question/29034036

#SPJ1

Answer:

Step-by-step explanation:

A=lw

= 21/4 in * 1/3in= 21/12 in.^2= 7/4in^2 or 7/4 inch squared

Answer:

bro u find it

Step-by-step explanation:

The value of the variables in figure x and y are 14 and 28.5 respectively.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We have been given the following parameters;

The two lines a and b are parallel to each other.

Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.

Thus, (5x - 7) =  (3x + 17)

Solving;

(5x - 7) =  (3x + 17)

5x - 3x = 17 + 7

2x = 28

x = 14

Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.

Thus,  (5x - 7) + (4y + 3) = 180

Substitute x = 14

(5(14) - 7) + (4y + 3) = 180

70 - 7 + 4y + 3 = 180

4y + 66 = 180

4y = 114

y = 28.5

Learn more about angles;

https://brainly.com/question/7116550

#SPJ1

Answer:

x = 53°

Step-by-step explanation:

Forming the equation,

→ x + (2x + 21°) = 180°

Now the value of x will be,

→ x + (2x + 21°) = 180°

→ 3x = 180° - 21°

→ x = 159°/3

→ [ x = 53° ]

Hence, the value of x is 53°.

Answer:

1. 130/6

2. 240/3

Step-by-step explanation:

make the whole numbers into a fraction by putting 1 as the denominator.

48/1.

then multiply together.

48 x 5 = 130

6 x 1 = 6

130/6

do the same with the other

120 x 2 = 240

1 x 3 = 3

240/3

Answer:

40

80

Step-by-step explanation:

5/6 × 48

5 × 48 = 240

240/6

= 40

120 × 2/3

120 × 2 = 240

240/3

= 80

If  he has 7 more nickels than dimes. The number of quarters that Warren have is 7.

Let coins be:

n + d + q = 40

Where;

n = nickels

d =dimes

q = quarters

Hence,

.05n + .10d + .25q = 4.05

n = d + 7

Substitute (d+7) for n

(d+7) + d + q = 40

2d + q = 40 - 7

2d + q = 33

q = (33-2d)

So,

.05(d+7) + .10d + .25q = 4.05

.05d + .35 + .10d + .25q = 4.05

15d + .25q = 4.05 - .35

.15d + .25d = 3.70

Substitute (33-2d) for q

.15d + .25(33-2d) = 3.70

.15d + 8.25 - .5d = 3.70

.15d -.5d = 3.70 - 8.25

-.35d = -4.55

Divide both side by -/35d

d = -4.55 / -.35

d = 13 dimes

Nickels

n = d+7 where d is 13

n = 13 + 7

n = 20 nickels

Quarters

q = (33-2d)

q = 33 - 2(13)

q = 33 - 26

q = 7 quarters

Therefore 7 is the quarters.

Learn more about quarters here:https://brainly.com/question/17127685

#SPJ1

Answers:

decimal form = 0.124

simplified fraction = 31/250

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

Explanation:

To convert from percent to decimal, we move the decimal point 2 spots to the left.

12.4% converts to the decimal form 0.124

Optionally you could use your calculator to say 12.4/100 = 0.124

--------

To convert from a terminating decimal to a fraction, we write the decimal digits over some power of 10. In this case, we write the "124" over 10^3 aka 1000. We write it over 1000 since the '4' is in the thousandths place value. Then reduce as much as possible.

124/1000 = (31*4)/(250*4) = 31/250 is the simplified fraction form

Use your calculator to see that 31/250 = 0.124 to confirm the answer.

The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.

A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.

That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.

So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.

Read more on perpendicular streets

https://brainly.com/question/23860737

#SPJ1

The value of the least integer is -1/2 or -0.5.

Based on the information given, let the integers be represented as:

x

x + 1

x + 2

x + 3

Since they all add to 4, this will be:

x + x + 1 + x + 2 + x + 3 = 4

4x + 6 = 4

Collect like terms

4x = 4 - 6

4x = -2

Divide

x = -2 / 4

x = - 1/2

Therefore, the least is - 1/2

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

Answer: [tex]f(a^2)=2a^2-4[/tex]

Step-by-step explanation:

Substituting [tex]a^2[/tex] for [tex]x[/tex], [tex]f(a^2)=2a^2-4[/tex].

The flight of plane from Montego bay to freeport is 894 miles.

To solve this we use Pythagoras theorem.

What is Pythagoras theorem?

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.

Main Body:

Formula for Pythagoras theorem = [tex]P^{2} +B^{2}[/tex]= [tex]H^{2}[/tex]

here H = 1200

B= 800

P =?

solving this equation

1200² = 800²+P²

P²= 800000

P=[tex]\sqrt{800000}[/tex]

P ≈ 894 miles

Hence the distance of flight from Montego Bay to Freeport is 894 miles.

To learn more about Pythagoras theorem click on the link below.

https://brainly.com/question/231802

#SPJ1

In the given figure, w= 27

Verification:

Solution

From SAS

XY=QP and YZ=QR

therefore ∠Y = ∠Q

since the interior angles of the triangle are supplementary

∠Y + ∠X +∠Z = 180

∠Y + 22 + 36 = 180

∠Y = 180 - 58 = 122

therefore, ∠Q is also equal to 122

and (4w+ 14) =122

122 - 14 = 4w

108 = 4w

w = 108/4 = 27

Hence, from the SAS criterion

w is equal to 27

To learn more about SAS criterion, refer to https://brainly.com/question/26115688

#SPJ1

By using the properties of parallelogram, it can be calculated that

[tex]\angle CFE = 30^{\circ}[/tex]

[tex]\angle[/tex]DEF = 70°

[tex]\angle AED = 110^{\circ}[/tex]

What is a parallelogram?

Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.

Here, ABCD is a parallelogram

[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]

[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]

[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]

[tex]\angle[/tex]DEF = 180 -  110 [ Angle on a straight line]

         = 70°

[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]

To learn more about parallelogram, refer to the link-

https://brainly.com/question/970600

#SPJ1

The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.

From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.

The equation is given as:

y = -325 + 14x

y = actual performance for 70 seats occupied

For x = 70

y = -325 + 14x

= 325 + 14(70)

= -325 + 980

= 655

Therefore, the residual will be:

= 700 - 655

= 45

The residual is 45.

Learn more about theater on:

brainly.com/question/13565425

#SPJ1

Miners excavated 1000 tons of dirt, and they found 8.892 ounces of gold.

Let X stand for the random variable determining how much gold is discovered for every 1,000 tonnes of dirt dug up. After that, we learn that:

X ~ N (12, 3²)

Let K be the required amount of discovered gold. 15% of the time, less than K worth of gold is discovered. Next, we have:

P (X ≤ K) = 0.15

When we transform this into a typical normal variable, we get:

P [Z ≤ (K - 12) / 3] = 0.15

From the common normal tables, we can deduce:

P (Z ≤ -1.036) = 0.15

Comparing the two equations above, we obtain:

(K - 12) / 3 = -1.036

K = 12 - (1.036 * 3) = 12 - 3.108 = 8.892

As a result, 8.892 ounces of gold are needed.

To know more about Probability, refer to this link:

https://brainly.com/question/12629667

#SPJ4

Answer: D) 7

Step-by-step explanation:

First put this into an equation as shown

f(x)=10x

The 10 is for the money he makes and the x is the amount of weeks

then take the 35 dollars he already saved and put it into an equation as shown

35+f(7)

the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)

7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.

Hope that helped. It may have been a bit complicated.

Answer:5

Step-by-step explanation:

10x7=70

35+70=105

Answer: 1/12

Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.

If the container's height is 20 cm , the amount of water that should be added to fill it completely is 1 liter .

In the question ,

it is given that

the base area of the rectangular container is = 200 cm²

the total height of the container = 20 cm

the height at which the water if filled = 15 cm

the height of water that is needed to be filled = 20 - 15 = 5cm

So , the volume of water to be added is = base area × height

= 200 × 5

= 1000 cm³

= 1 Liter            .... because 1000cm³ = 1 Liter

Therefore , If the container's height is 20 cm , the amount of water that should be added to fill it completely is 1 liter .

Learn more about Volume here

https://brainly.com/question/15511792

#SPJ1