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

What is the value of x? Enter your answer in the box-example-1
User Rajakvk
by
7.9k points

2 Answers

4 votes

Answer:

x = 25.

Explanation:

24/40 = 15/x

x = (40*15) / 24

x = 600/24

= 25.

User Sagar Ranpise
by
8.7k points
7 votes

Answer:

25

Explanation:

Those parallel lines tell us our triangles are similar. So that means the corresponding sides are proportional.

So we have that x corresponds to x+15 and

40 corresponds to 24+40.

So we have this proportion to solve:


(x)/(x+15)=(40)/(24+40)

Let's simplify what we can:


(x)/(x+15)=(40)/(64)

Cross multiply:


(64)(x)=(x+15)(40)

Multiply/distribute:


64x=40x+600

Subtract 40x on both sides:


24x=600

Divide both sides by 24:


x=(600)/(24)=25

x=25

User Alex Goft
by
8.6k points

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