Question

Please help with a quick question??

What is value of x?



Enter your answer in the box.

x =

Answer 1

x =10

Explanation:

We can use proportions to solve this problem. Take the small triangles side over the large triangle side

8 x+4

------ = ---------

12 2x+1

Solve using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12 x

16x-12x+8 = 12x-12x+48

4x+8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x= 40

Divide by 4

4x/4 = 40/x

x =10