Question

In the image, ∆JKL ~ ∆MNP. Solve for x. Show all work.

Answer 1

Explanation:

KJ/JL = NM/MP

12/6 = 16/(4x - 2)

2 = 16/(4x - 2)

2(4x - 2) = 16

8x - 4 = 16

8x = 16 + 4

8x = 20

x = 20/8

x = 2.5

Hence,

Value of x is 2.5

Answer 2

• x = 2.5

Explanation:

Pictures triangles are similar.

The ratio of corresponding sides is equal:

• MP/JL = MN/JK

Substitute the values:

• (4x - 2)/6 = 16/12

Solve for x:

• (2x - 1)/3 = 4/3
• 2x - 1 = 4
• 2x = 5
• x = 2.5