Question

Can you guys help me find x for both

Answer 1

x = 6 and x = 9

Explanation:

16

MN is half the length of KL

MN =
`(1)/(2)` × 12 = 6

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17

Δ LMN and Δ LJK are similar triangles, so the ratios of corresponding sides are equal, that is

`(LM)/(LJ)` =
`(MN)/(JK)` , substitute values

`(x)/(x+9)` =
`(8.5)/(17)` =
`(1)/(2)` ( cross- multiply )

2x = x + 9 ( subtract x from both sides )

x = 9