NEED HELP ASAP 70 POINTS
What is the value of x?
Enter your answer in the box.
x =
in.

Look at the picture.
We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:
[tex]\dfrac{x}{8}=\dfrac{15}{5}[/tex]
[tex]\dfrac{x}{8}=3[/tex] multiply both sides by 8
[tex]\boxed{x=24\ in}[/tex]
Answer:
x = 24 inches
Step-by-step explanation:
We can use similar triangles to solve this problem. Put the same side of the small triangle over the same side of the large triangle
5 in 8 in
--------- = ------------
15 in x in
Using cross products
5x = 8*15
Divide by 5
5x/5 = 8*15/5
x = 8*3
x = 24 inches