Question

The question is listed in the image below.

Answer 1

Answer:

y = 7

Step-by-step explanation:

The similarity statement $ABCD \sim WXYZ$ tells you which vertex from the first polygon corresponds to which vertex from the second polygon.

A is paired with W, B is paired with X, C is paired with Y, D is paired with Z.

The expression y + 2 is placed along side WZ which corresponds to side AD in the first polygon.

Now locate two sides, one from each polygon, that are labeled with just numbers.  That way, you'll be able to tell what the proportion is between the two shapes.

AB and WX correspond and are labeled 5 and 3, respectively.

Now you can write a proportion:

$\frac{WX}{AB}=\frac{WZ}{AD}\\\\\frac{3}{5}=\frac{y+2}{15}$

Use the Means-Extremes Property ("cross multiply").

$5(y+2)=3(15)\\\\5y+10=45\\\\5y=35\\\\y=7$