Question

I NEED SOME HELP!

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Find the values of the variables and the lengths of the sides of this kite.

Answer 1

x = 7, y = 16

Explanation:

Looking at the image we can conclude the following
Sides with measurements y - 4 and x + 5 are equal

So we get the equation y - 4 = x + 5

The sides with measurements 2x + 5 and x + 12 are equal\

We get another equation 2x + 5 = x + 12

Let's take the second equation which is in terms of x only and solve for x

2x + 5 = x + 12

Subtract x from both sides

2x - x + 5 = x - x + 12

==> x + 5 = 12

Subtract 5 from both sides:
x + 5 - 5 = 12 - 5

x = 7

Now that we know the value of x, we can substitute this value into the first equation y - 4 = x + 5

==> y - 4 = 7 + 5

y - 4 = 12

Add 4 to both sides:

y - 4 + 4 = 12 + 4

y = 16