Question

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

Answer 1

Answer:

25

Step-by-step 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:

$\frac{x}{x+15}=\frac{40}{24+40}$

Let's simplify what we can:

$\frac{x}{x+15}=\frac{40}{64}$

Cross multiply:

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

Multiply/distribute:

$64x=40x+600$

Subtract 40x on both sides:

$24x=600$

Divide both sides by 24:

$x=\frac{600}{24}=25$

x=25

Answer 2

Answer:

x = 25.

Step-by-step explanation:

24/40 = 15/x

x = (40*15) / 24

x = 600/24

= 25.