Question

The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

Answer 1

Answer:

$q=8.5$

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

$\frac{AB}{BC}=\frac{3}{4}$

Substitute,

$\frac{60}{10q+15}=\frac{3}{4}$

Cross products,

$\frac{60}{10q+15}=\frac{3}{4}$

$(60)(4)=(10q+15)(3)\\\\240=30q+45$

Inverse operations,

$240=30q+45\\\\195=30q\\\\8.5=q$