Question

figure a is a scale image of figure b. figure a (a blue triangle) has a base of 4 and a side labeled ( x ). figure b (a green triangle) has a base of 10 and a side labeled 11. what is the value of ( x )?

Explanation:

Step1: Set up proportion

Since Figure A is a scale image of Figure B, the ratios of corresponding sides are equal. So we have $\frac{x}{11}=\frac{4}{10}$.

Step2: Solve for x

Cross - multiply: $10x = 4\times11$.
Calculate $4\times11 = 44$, so $10x=44$.
Divide both sides by 10: $x=\frac{44}{10}=4.4$.

Answer:

$4.4$