Question

If NML ~ SRL find the value of x.

Answer 1

x = 5

Explanation:

Since the triangles are similar, corrresponding sides are in proportion.

`(NM)/(SR) = (ML)/(RL) = (NL)/(SL)`

Using the equation formed by the second and third fraction above we get

`(28)/(24) = (3x - 1)/(x + 7)`

28(x + 7) = 24(3x - 1)

28x + 196 = 72x - 24

44x = 220

x = 5