Complentary angle = 90 degrees
90 - 16 = your answer
Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
D. 1.0002
Probabilities can only go up to 100%, or 1. 1.0002 is greater than 1.
(3x + 13) + (8x + 14) + 109 = 180°
(3x + 13) + (8x + 14) = 71°
11x + 27 = 71°
11x = 44°
x = 4
