Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 9 ← is in slope- intercept form
with y- intercept c = 9
then the line crosses the y- axis at (0, 9 )
parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4
Answer:
21. 123 22. 6.86 or 6/ 6/7 23. 90
Step-by-step explanation:
21. (6+4)² + (22+10÷2)
(10)² + (22 + 5)
100 + 27
127
22. (11+42-5) ÷ (11-4)
48 ÷ 7
6.85 or 6 6/7
23. (17-3) × (14 - 6) -22
14 × 8 - 22
112 - 22
90
