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mars1129 [50]
2 years ago
9

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

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

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

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