Questions: What is the value of y ? Worth 4.000 points. A. 7 B. 12

Transcript text: What is the value of $y$ ? Worth 4.000 points. A. 7 B. 12

Solution

Solution Steps

Step 1: Identify Similar Triangles

The two triangles are similar because they share a common angle of 20° and are assumed to share the same angle created by the intersection of the two longer legs. Therefore, their corresponding sides are proportional.

Step 2: Set up a Proportion

We can set up a proportion relating the corresponding sides of the two triangles. The sides opposite the 20° angle are corresponding, as are the longest sides of the triangle:

9/y = 21/3

Step 3: Solve for y

Cross-multiply:

21y = 27

y = 27/21

y = 9/7