In rectangle JKLM, angle KLM is 4x + 10. Find the value of x.

x = 20

JKML is a rectangle => ∠KLM = 90°

⇔ 4x + 10 = 90

⇔ 4x = 80

⇔ x = 80/4

⇔ x = 20

Step-by-step explanation:

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.

answer: the correct one is a

step-by-step explanation: