31 degrees (vertically opposite angle)
Answer:
x = 111
Step-by-step explanation:
x + x - 42 = 180 {Lines are parallel. So, they are supplementary}
2x - 42 = 180
Add 42 to both sides
2x - 42 + 42 = 180 + 42
2x = 222 {Divide both sides by 2}
x = 222/2
x = 111
9514 1404 393
Answer:
y = 5x -2
Step-by-step explanation:
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (8 -3)/(2 -1) = 5
The y-intercept is given by the formula:
b = y -mx
b = 3 -5(1) = -2
Then the slope-intercept form equation is ...
y = mx +b
y = 5x -2 . . . . . . . . using the m and b we found above
-3 (5 - x) = 4x
-15 + x = 4x
-15 = 3x
X = 5
Answer:
Largest value of x = 7
Smallest value of x = -1
Step-by-step explanation:
To fill in the gaps:
......+(-3x)² = 7 + (-3)²
(.......-3)² = 7 + (-3)²
(.........) = ...4
...... = +4 and ...... = -4