Use the diagram below of similar triangles to find the value of y.

Question

asked Jun 1, 2023 88.6k views

1 Answer

Selwyth · Answer 1 · 2023-06-06T07:54:14+0000

Answer:

y = 10.5

Explanation:

Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is

(OP)/(NQ) =
(MO)/(MN) ( substitute values )

(y)/(7) =
(8+4)/(8) =
(12)/(8) ( cross- multiply )

8y = 84 ( divide both sides by 8 )

y = 10.5