Question

Triangles MOP and MNQ are similar. Find x.

2

3

4

5

Answer 1

x = 3

Explanation:

MQ : MN = 5:6

MP : MO = 5:6

MQ/MN = 5/6

Hence, MP/MO = 5/6

(5+x)/(6+(18/5)) = 5/6

5+x = (5/6)(48/5)

5+x = 8

x = 3