Find the value of M, to the nearest tenth of a yard.

Answer:
10.7 yd
Step-by-step explanation:
Both the right triangles would be similar by AA Postulate.
Since, corresponding sides of similar triangles are proportional.
[tex] \therefore \: \frac{M}{4} = \frac{5 + 3}{3} \\ \\ \therefore \: \frac{M}{4} = \frac{8}{3} \\ \\ \therefore \: M = \frac{8 \times 4}{3} \\ \\\therefore \: M = \frac{32}{3} \\ \\\therefore \: M =10.7 \: yd \\ \\[/tex]