find the measure of each acute angle in the figure.

Find The Measure Of Each Acute Angle In The Figure.

Answers

Answer 1

Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

Find:

All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

7x = 84

x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°


Related Questions

Find the orthocenter of a triangle with vertices (−8, 11), (−3, 11), and (−3, −12).
The orthocenter of triangle is at ( , ).

Answers

Answer:

( -3, 11)

Step-by-step explanation:

find the equation of the line between points ( -8, 11) and (-3, 11)

y= mx +b , where m is slope snd b is y-intercept

m = (y2-y1)/ (x2-x1) = 11-11/ -8- -3 = 0/ -5 = 0 ( if slope is o is a horizontal line)

y = 0x + b and pick a point to find b

11 = 0*-8 + b so b= 11

y = 11 is the equation of the line between points ( -8, 11) and (-3, 11) and the equation of its perpendicular line is x=-3

the equation of the line between points  (-3, 11) and ( -3, -12) is x= -3 and the perpendicular to it is y= 11

so we have a right triangle so the ortho center is at (-3, 11) where the vertex of the 90 degree angle is

Find the area of these shapes!! Will mark brainliest for right answer

Answers

Answer:

for first one

total area =l×b+1/2×b×h=6×4+1/2×2×6=30cm²

Step-by-step explanation:

for second one

total area =l×b+1/2×b×h=7×5+1/2×7×2=35+7=42m²

Which ordered pair represents the x- intercept?

Answers

W just like said that I don’t have to get my hair

that batch calls for 5 cups of flour and 4 teaspoons of vanilla if i use 6 teaspoons of vanilla how many cups will i need

Answers

5 cups & 4 teaspoons
? cups & 6 teaspoons


2.5 cups is half of 5
2 is half of 4

you increased the recipe by 1/2

so for 6 teaspoons you will need 7.5 or 7 1/2 cups of flour b/c 5 + 2.5 = 7.5

ANSWER: 7 1/2

Question 6 of 10
What is the equivalent radical expression for the exponential expression
below?
151/2
O A √15²
B. 154
C. 15
D. 152

Answers

it’s c sorry if i’m wrong!

Answer:

√15

Step-by-step explanation:

Assuming that it is:

[tex]15^\frac{1}{2}[/tex]

Exponent rule for fractional exponents are:

[tex]x^\frac{a}{b}=\sqrt[b]{x^a}[/tex]

Apply rule:

[tex]15^\frac{1}{2}=\sqrt{15}[/tex]

Hope this helps!

what is equal to 45a-10b

Answers

Answer:

45b - 10a

Step-by-step explanation:

Answer:

5(9a-2b)

Step-by-step explanation:

This is a polynomial and you have to factor it.

GCF of 45a and 10b is 5

5(9a-2b)

Branliest would be Appreciated

A school is purchasing graphing calculators for use in math classrooms. The graph shows a relationship between the number of graphing calculators purchased and the total cost.
The constant of proportionality is 120. True or false
If a graph is a straight line, it shows a proportional relationship. True or false
Any graph that passes through origin represents a proportional relationship. True or false.
A graph must be a straight line and go through the point (0,0) in order to represent a proportional relationship. True or false.
PLEASE HELP!!

Answers

Answer:

False; false; true

Step-by-step explanation:

In 45 years will be 4 times older how old is she now

Answers

Answer and Step-by-step explanation:

The key for this has a current age and a future age. Sometimes these problems have more than one person or has a past age.

 

       current age     future age

        x                    x+45

 

The future age is 4 times current age

 

x+45 = 4x

   45 = 3x

   15 = x

 

She is currently 15. 45 years from now she will be 60.

60 is 4 times her current age. So right now, she is 15.

#teamtrees #WAP (Water And Plant)

 

Answer:

11yrs (6months)

Step-by-step explanation:

11.5×4=45

Since .5 in years is 6 months

Write an explicit formula for a-n, then term of the sequence 36, 39, 42,....

Answers

Answer:

a^n = 36 + (n-1) * 3

Step-by-step explanation:

Explicit formula for arithmetic sequences: a^n = a^1 + (n-1) * d

In this case, a^1 = 36 and common difference/d = 3

So...

a^n = 36 + (n-1) * 3 is the explicit formula for this sequence.

The Stock Market Nadia is a stockbroker. She earns 11% commission each week. Last week, she
sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Last week, she made $
in commission.

Answers

Answer:

she made $583 commission last week

she made $30313

Step-by-step explanation:

5300 * .11=583

583 * 52 weeks =30316

Marc has 80 blue marbles , and he wants to give away 15% of them to his friends . How many blue marbles will he give away? Proportions Marc will give away blue marbles.​

Answers

Answer:

12 marbles

Step-by-step explanation:

0.15 times 80= 12

so

15% of 80 is 12

Sally has 21 books Sam has 24 times more books than sally how many books does Sam have

Answers

I think 504 cause you times 24 by 21 cause it says 24 times more. Hope this is right.

5x +9 = 65 :solve
Please help me

Answers

Answer:

11 1/5

Step-by-step explanation:

subtract 9 from both sides

5x = 56

divide both sides by 5

x = 56/5

11 1/5

Answer:

11.2 because 65 - 9 = 56 and 56 divided by 5 is 11.2

please explain denominator and numerator​

Answers

Answer:

numerator on top

denominator on bottom

Step-by-step explanation:

Denominator: the BOTTOM number in a fraction ALWAYS

Numerator: the TOP number in a fraction ALWAYS

hope this helps :)

please help me asap thank you !!

Answers

Answer:

x = 3

Step-by-step explanation:

Measure of a triangle is 180° degree.

.·. 46 + 105 + 6x + 11 = 180

.·. 162+6x=180

.·. 6x=180-162

.·. 6x= 18

.·. x= 18/6

.·. x= 3

You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing an odd number and then a 20

Answers

Answer:

P odd number, then 20) = 1 /14

Step-by-step explanation:

P( odd number) =  number of odd numbers/ total

number of odd numbers = 3

total = 7

P( odd number)   = 3/7

We keep the tile so that there are only 6 tiles left

P (20) = number of 20/ total

         = 1/6

We multiply the probabilities together

P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14

If you answer this you will get brainliest

Answers

Answer:

um i don't understand im sorry

A zookeeper is monitoring the supply of grain and hay that she has to feed the
animals for the week. She currently has eight pounds of hay. One pound of hay
feeds the animals for three days. The grain that she has to feed the animals is
shown in the graph below. Given the rate at which the zookeeper is giving the
animals hay and grain, on which day will she have the same amount of grain and hay remaining?

Answers

Answer: Day 6

Step-by-step explanation: Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.

How long would it take the snail to crawl 65 inches?

A) 65 Minutes
B) 60 Minutes
C) 6 Minutes
D) 6.5 Minutes

Answers

Answer:

C

Step-by-step explanation:

6 minutes is the most reasonable time to crawl 65 inches.

Anyone know the answer to this?

Answers

2n^2/6^2+10n-1

Step-by-step explanation:

(6-n)(6+n)-(6+n)(6+n)/(6+n)(6+n)-(1-n)(1+n)

I want to know what is 6000000a=4square %b

Answers

Answer:

60000000001a=5 d example

Which Heinz Ketchup offer is the better deal? (Assume the price stays proportional and the Ketchup is
Identical.) Show ALL work and labels, and make sure you include a "because." in your answer.
Deal A
38 oz for $2.98
Deal B
114 oz for $6.48

Answers

B because you get more for a cheaper price.

3x3-5/5x6+19 i don’t know what I’m don’t wrong

Answers

Hi there!

For these two equations, we would be using PEMDAS...

[tex]3[/tex]·[tex]3=9-5=4[/tex]

[tex]5[/tex]·[tex]6=30+19=49[/tex]

Hope this helps!

can someone please help with number 9??? i need it for an important grade

Answers

Number nine of what?

Answer:

C

$492 is sitting in the bank with it being a positive number

$3 dollars are being charged per month.

The length of a rectangle is five inches more than four times the width. The perimeter is 100 inches. Find
the length and width.

Answers

Answer:

the length is 41 inches, the width is 9 inches

Step-by-step explanation:

let "x" represent the width

if "x" represents the width, then "4x+5" represents the length

perimeter of a rectangle = 2(length+width)

100 = 2(4x+5+x)

100 = 2(5x+5)

100= 10x +5

10x = 100 - 5

10x = 90

x = 9

width is 9 inches, but you still need to solve for length

length = 4x+5"

4(9)+5=41

CHECK:

2(length+width) = 100

2(41+9) = 100

100=100

3/2*4/5 is equal or greater or less than 4/5

Answers

It is less than 4/5.

Answer:

Greater, because 3/2 times 4/5  is 1 1/5. A mixed number is bigger than a  fraction.

Step-by-step explanation:

Mia has 4 horses and 11 apples. She gives each horse the same number of
apples, and she uses as many apples as she can. How many apples does Mia
give each horse? How many apples are left?
» Complete the equation.
11 : 4 =
R

Answers

Answer:

She gives 2 apples to each horse, and there will be 3 apples left.

Step-by-step explanation:

We know that Mia has 4 horses and 11 apples

She gives each horse the same number of apples, such that she uses the maximum number of apples that she can.

If she has 4 horses and she gives the same amount to each horse (let's say that this amount is N apples to each horse)

Then she uses a total of 4*N apples.

Then if N  =  1, she needs 4*1 = 4 apples.

if N = 2, she needs 4*2 = 8 apples.

if N = 3, she needs 4*3 = 12 apples.

But she has only 11 apples, so she can not give 3 apples to each horse.

Then the maximum number of apples that she can give to each horse is N = 2, 2 apples to each horse.

Now, we know that she has 11 apples in total, and she gives 2 to each of the 4 horses, then she gives:

4*2 = 8 apples.

The number of apples that are left are:

11 - 8 = 3

There are 3 apples left.

What is the slope of the line that passes through the points (0,-8) and (12, 6)?
round to the one decimal place

Answers

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁).


Slope of line passing through (0, -8) and (12, 6) = (6-(-8))/(12-0) = 14/12 = 7/6

I need help 79 points

Answers

Answer:

can u explain this a little bit more i think ik the answer but im not sure #3 is well i think it is 120#4 is 164.85 #5 is 40 yea hope this helps :)

Step-by-step explanation:

Answer:

#3 = 120

#4 = 164.85

#5 = 40

#6= 240

Step-by-step explanation:

hope i helped!

If the quadrilateral below is a trapezoid, find the missing measures.

Answers

Answer: <c is 102 degrees <e is 45 degrees

Step-by-step explanation:

Other Questions
como convertir 0.8 horas asegundo How did the Industrial Revolution impact the industrialized countries of the world? a recipe calls for 1/2 cup of ingredient a for every 1 1/5 cups of ingredient B. you use 4 cups of ingredient A. how many cups of ingredient b do you need Solve by factoring and the square root method, SHOW ALL WORK. Evaluate the expression (a^2 b^0 c^-4) if a=6, b=-2, and c=3 A man chooses a card at random from a pack of playing cards. What is the probability that the card is a diamond? Please simplify the answer to its lowest terms. Amount of sugar in a sugar bowl is 0.75 cups A pebble falls off of a cliff at a height of2,304 ft. If the equation for height as afunction of time ish(t) = -16t2 + initial height where t is timein seconds and h(t) is height in feet, howmany seconds will it take for the pebbleto hit the ground? social studiescreate an advertisement by taking into consideration the following guided question what is your product ?when will your product be available ? who is your target e.g age , gender how will your advertise ,which mediums will you use ?why do people need your product ? why is it better than the competitor ? PLS HELP ME PLS SOVLE THIS WITH THE LIKE TERMS I ONLY HAVE 25 MINS TO FINISH THIS (-3x-7)+(4x+7)=2(1x+14)+(2x-14)=(11x-8)+7(x-1)=(please show your work/explain) OPEN ENDED QUESTIONMacbeth is having second thoughts about his wife's plan to kill the king in order to get power. What is holding him back?What is Macbeth worried about? What does he mean by, if only 'this blow (murder of Duncan) might be the be-all and theend all?" Please help right now?? Why did Andew Jackson remove many government workers from office after becoming president? Evaluate -41-41.=-80816-16 A) 1 Km/hB) 2.5 Km/hC) 5 Km/hD) 15 Km/h Which is the right answer? anyone have any good evidence on why police bruatlity should end? i need help for an essay. Find the slope that passes through (4, 1) and (8, 4). A function is given below. f ( x ) = 3 x 2 5 x What is the value of f ( 4 ) ? who influenced Max weber Need help on this mathematical equation I have been assigned by my college teacher