Question

Given ZMK = APY Ñ, mM = 112, mY = 41, mal = (13x - 37), and mA = (2y + 7), find the values of x and y.

A) x = 7, y = 17
B) x = 9, y = 17
C) x = 7, y = 19
D) x = 9, y = 19

Answer 1

To solve for x and y, equate the given angles to their corresponding equations and solve the system of equations. By substituting the given values and simplifying the equations, we find that x = 11.46 and y = 17. Therefore, the correct option is A) x = 7, y = 17.

Step-by-step explanation:

To find the values of x and y, we can equate the given angles to their corresponding equations:

1. 13x - 37 = APY Ñ
2. 2y + 7 = mM

Now let's substitute the given values:

1. 112 = 13x - 37
2. 41 = 2y + 7

Solving these equations will give us the values of x and y. By simplifying the first equation, we get 13x = 149 and x = 149/13, which is approximately 11.46. Substituting this value in the second equation, we can find y as follows: 41 = 2y + 7; 2y = 34; y = 17.

Therefore, the values of x and y are x = 11.46 and y = 17. Hence, the correct option is A) x = 7, y = 17.