Need to find what x and y equals

The two angles with x in them are the same. Set them equal to each other and solve for x:

4x-5 = 3x + 11

Add 5 to both sides:

4x = 3x +16

Subtract 3x from both sides:

x = 16

Now solve for the angle next to y:

4x - 5 = 4(16) -5 = 64 -5 = 59

Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:

y = 180 - 59 = 121

Answers:

X = 16, y = 121

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

its an acute right triangle

step-by-step explanation: