What is the value of x? Enter your answer in the box.

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

Similar Triangles

We are given a shape where two similar triangles are given. The similarity theorem states that the side lengths of the triangles must be proportional in the same scale factor.

The total length of the left side is 72+9 = 81 cm

The smaller length of the left side is 9 cm

The proportion is 81/9 = 9. This is the scale factor.

The total length of the right side is 3x - 20 + 56 = 3x + 36

The smaller length of the right side is 3x-20

The proportion must be equal to 9:

[tex]\displaystyle \frac{3x+36}{3x-20}=9[/tex]

Multiplying by 3x-20:

3x+36=9(3x-20)

Operating

3x+36=27x-180

Rearranging:

24x = 216

Dividing by 24:

x = 9

Related Questions

PLEASE HELP ME ASAP!!! (you will get 20 points!!!)

Name the longest side of ∠DEF.
D=62° E=108° F=10°

Answers

Answer: the longest side of a triangle is always the opposite side of the largest angle

Step-by-step explanation:

Line segment DF ☺️

What is...
1. 4x = -36
2. 5x - 15 = 50
3. 4(x + 2) - 17 = 35
4. 6x + 12 = 4x - 18
5. 1/2 (4x - 10) + 5 = x - 11

Answers

Step-by-step explanation:

1Ans: 4x = -36

× = -36/4

× = -9

2Ans: 5x -15 = 50

5x = 50 + 15

5x = 65

x = 65/5

x = 13

3Ans: 4(x + 2) -17 = 35

4x +8 -17 = 35

4x -9 = 35

4x = 35 +9

4x = 44

x = 44/4

x = 11

4Ans: 6x +12 = 4x -18

6x -4x = -18 -12

+2x = -30

x = -30/+2

x = -15

5Ans: 1/2 (4x -10) +5 = x -11

0.5 (4x -10) +5 = x -11

2x -5 +5 = x -11

2x = x -11

2x - x = -11

1x = -11

x = -11/1

x = -11

What is the factored form of this expression? 7- 12x+36 А. (x-12)(x-3) B. (x-6)(x+6) c. (x+6) 2 D. (x-62

Answers

Answer:

Step-by-step explanation:

factored form of x^2 - 12x + 36

(x - 6)(x - 6) or (x - 6)^2

answer is D

A 28 foot ladder is leaning against a building. If the
base of the ladder is 7 feet from the wall, what is the
height of the building?

Answers

Answer:

the height of the building would be about 27.111 or rounded 27

Step-by-step explanation:

HELP GUYS PLS THANK YOU

Answers

Answer :

Step-by-step explanation:

yellow cab company because they charge less for miles

The Red Cab Company because for example if the airport is 5 miles away you would do:
$3.50+ $1.25(5) to get $9.75
(The Red Cab Company)
For the yellow cab company you would do:
$5+ $1.15(5) to get $10.75
So the Red Cab Company is less

Math
Skip count by tens and fill in the missing numbers.
550, 660 570, 580, 590,
610,

Answers

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

Round 25,000 to the nearest thousand

Answers

The answer would be 2.5

Answer:

25,000

Step-by-step explanation:

Since there are no other numbers before the thousands place, it can be determined that the current thousands place will remain the same.

2, 8, 9, 20, 22, 25, 5
Mean ??
Mode ??
Median ??

Answers

Answer:

the mean is the sum of them all divided by the number of terms.

mean: 13

the mode is the element that occurs MOST in the data set.

mode: none

the median is the middle value of all of the numbers.

median: 9

Answer:

Step-by-step explanation:

Mean:91/7=13

Mode:no mode

Median:9

If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?

Answers

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

Keenan measured a community college and made a scale drawing. The scale of the drawing
was 1 centimeter : 9 meters. If the actual width of a building at the college is 90 meters, how
wide is the building in the drawing?

Answers

Answer:

The answer is 10 centimeters

Step-by-step explanation:

If 1 cm on the map = 9 meters. 10cm would be 90 meters. Hope this helps!

Answer:

drawing = 10 cm for the width.

Step-by-step explanation:

1 cm / 9 m = x / 90 m

If the meters go on the bottom in the left ratio, they must go on the bottom on the right ratio. In this case the cm is the unknown and it must go on the top with no units.

Cross multliply

9 m * x = 90m * 1cm

Divide by 9

9m * x/ 9m = 90 m * 1 cm / 9m Notice the units (m) cancel out

x = 10 cm

Can someone help me? Thanks! :)

Answers

Answer:

Step-by-step explanation:

70+50=120

180-120=60

What is the solution to the system of equations?

2x+3y=26
3x+5y=40

1. X=10, y=2

2. X=10, y=-2

3. X=-10, y=-2

4. X=-10, y=2

Answers

Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

What is the number 0 gonna be?

Answers

12 Step-by-step explanation:cause 6x2 = 12

Answer: change the number 0 to 2. the correct answer is 792 and 780.

Step-by-step explanation:

Smallest to greatest
1/3 0.6 0.721

Answers

0.721, 0.6. 1/3 I think is the order.

simplify each expression.
(4 - 2i) - (-3 + i)

Answers

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

Answer:

7 -3i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression

Need help with this pls!!

Answers

Answer:

In my looks its c!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The arrow pointing up is longer than the others.

WILL GIVE BRAINLIEST!!!!!!
Your grandfather would like you to invest in his company. He guarantees that if you invest in the stock of his company you will earn 15% on you r money every year. If you invest $100 and your grandfather is right, how much money will you have after 20 years? Round to the nearest cent.

Answers

Answer:

i=0.099

PMT (annual payment needed) $11,309

PV of perpetuity

PV=11309/0.099

=$114,232.32

hope that helps

pls mark brainliest <3

Answer:

ok so i think it is i=0.099

Step-by-step explanation:

i took the test. the test said it was that answer so yea

Two cars travel the same distance. Car 1 travels at 50 mph and car 2 at 65 mph. If it takes car 1 one more hour to travel than car 2, how far did the cars travel?

Answers

216 2/3 mi distance they travelled

fadil sells televisions. He earns $15 a fixed amount for each television and an additional if the buyer gets an extended warranty. If sells 12 televisions with extended warranties, he earns 1140
. How much is the fixed amount earns for each television?

Answers

剪水門鐺活成菇函驗啊卜蠍蠍蠍蠍數蠍中金白白白白白白白白白自

A plant's height is 1 meter 10 centimeters. How tall
is the plant in millimeters?

Answers

Answer:

1100

Step-by-step explanation:

Answer:

1100 millimeters

Step-by-step explanation:

The graph shows the relationship between the number of pizzas and the number of people the pizzas will feed at a party How
many pizzas will take to feed 40 people?
10
x
B
12
20

Answers

Answer:

12 homie

Step-by-step explanation:

Answer:

Step-by-step explanation:

MMA-A Unit 3 packet answer key? Lmk

Answers

Answer:

yea its right here

Step-by-step explanation: sike

Hey What is -5t > 10

Answers

Answer: 10 (ten) is an even number

following 9 and preceding 11

Step-by-step explanation:

Is this the right answer correct me if im wrong what is m

Answers

I think that is correct !!

What is the value of the expression 10(n-6) when n = 14?
A. 46
B. 56
C. 80
D. 134

Answers

ANSWER: C. 80

10(n-6)
substitute n with 14
10(14-6) = 80

3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?

Answers

Answer:

i may be entirely wrong but evelyn has more days

susan=18

evelyn=20.75 or 21 if rounded

A fish is 12 Meters below the surface of the ocean. what is it's evelation

Answers

A fish is 12 Meters below the surface of the ocean. What is the elevation it is -12

(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??

A. Kenneth makes $232.60

B. Kevin makes $208.20

C. Kevin makes $73.20

D. They both make $440.00

E. Kenneth makes $219.60

Answers

Answer:

I think the asnwer A or B !!

Step-by-step explanation:

I think it’s A or B if u look at it

Identify the model that shows 4 items being divided equally among 3 people. How much will each person have

Answers

Answer:

1 1/3 items

Step-by-step explanation:

Total number of items = 4 items

Total number of people = 3 people

4 items = 3 people

To know the number of items each person will get, we can write;

x items = 1 person

Divide both expressions

4/x = 3/1

3x = 4

x = 4/3

Express as mixed fraction;

4/3 = 1 1/3

Hence each person will receive 1 1/3 items

PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.

Solve each equation using substitution. Answers are on the right and questions are on the left.

Answers

Answer:

Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)

Step-by-step explanation:

Q1.

y = -1/3x - 1x + 3y = -12

Solution

x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12

No solution

y = 2x - 4y = x + 1

Solution

2x - 4 = x + 1x = 5y = 6

(5, 6)

y = -3x + 36x + 2y = 6

Solution

6x + 2(-3x + 3) = 66x - 6x + 6 = 66 = 6

Infinitely many solutions

- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1

Solution

1 = -1

No solution

y = 1/2x + 2y = x + 1

Solution

1/2x + 2 = x + 11/2x = 1x = 2y = 3

(2, 3)

Other Questions

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