Answer: C. x = 6; m∠XOY = 18
Step-by-step:
We see that ZOW and WOX are supplementary, meaning the sum of their angles equal 180.
We also know that WOY is a right angle and equals 90.
Now we can solve
180-108 = 72
90 - 72 = 18
XOY = 18
Because 3x = 18, we know that x = 18 by dividing 18 by 3
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
Answer:
7
Step-by-step explanation: