Question

The measure of the acute angles of the right triangle below are represented by x and y. In this triangle y is 15 less twice x

Answer 1

That is a right triangle. That means that the other 2 angles added together equal 90, because a right angle measures 90 degrees and all the angles added together in a triangle equal 180. So the first equation is x + y = 180. If y is 15 less twice x, then 2x - 15 = y, or 2x - y = 15, if we are solving it for 15 and putting it into standard form of a line. What you are looking for is the third choice down.

Answer 2

The system of equations that can be used to solve for the values of x and y in the right triangle is

x + y = 90

2x - y = 15

This matches option C.

What is system of equations?

In a right triangle, the sum of the acute angles is 90 degrees (x + y = 90). The problem states that y is 15 less than twice x (y = 2x - 15).

Therefore, the system of equations that represents these conditions is:

x + y = 90

y = 2x - 15

Rearrange the second equation

2x - y = 15

Hence, we have

x + y = 90

2x - y = 15

This system of equations can be used to solve for the values of x and y in the right triangle.

This matches option C.