Answer: 18
Step-by-step explanation:
First we need to solve for x to find the measure of the adjacent angle.
-6x+64 = 8x + 162
subtract 162 to leave x by itself
-6x- 98 = 8x
add 6x to both sides
-98 = 14x
now divide by 14
x = -7
Now solve one of the given equations to find the measure of the adjacent angle.
8(-7)+162
-56 + 162 = 106
Meaning the measure of angle 8 is 18
because they'll add up to 180(The measure of the line)
Answer: C) (-3, -1)
X = -3 and y= -1
If you apply these values in the inequalities
y < 2x + 1
-3 < -2 + 1
-3 < -1
Since -3 is less than -1 , the values hold true for the first equation
y > -x-5
-3 > -1 - 5
-3 > -6
Since -3 is greater than -6, it also holds true for the 2nd equation
x = 3 ; y = 1
Given:
y = -2x + 7
y = 1/3x
Substitute y by its value to find x.
y = y
1/3 x = -2x + 7
x = (-2x + 7) ÷ 1/3
x = (-2x + 7) * 3/1
x = -6x + 21
x + 6x = 21
7x = 21
7x/7 = 21/7
x = 3
Substitute x by its value to solve for y.
y = -2x + 7
y = -2(3) + 7
y = -6 + 7
y = 1
y = 1/3 x
y = 1/3 * 3
y = (1*3)/3
y = 3/3
y = 1
Her bonus would be four dollars. I hope this helped!
