1. Triangle HYV and Triangle AYB are similar. What is the value of x

Mathematics

1 answer:

denis23 [38]2 years ago

6 0

Answer:

x=40.375

Step-by-step explanation:

Since HYV and AYB are similar, we know that the sides in each of the triangles with have the same ratio to each of their corresponding sides.

For example, YV/YB=YH/YA.

Now we have to find the ratio of the sides which can be done using the lengths of segments YB and YV. YB=16 YV=16+22=38 38/16=2.375

2.375 is our ratio.

Next we are going to find the length of YH so we can determine x.

YA=17 YH=17*2.375=40.375

The length of side YH=40.375 which is equal to x.

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