Answer:
measure of 1 = 117 degrees
measure of 2 = 63 degrees
<em>*x = 39</em>
Step-by-step explanation:
m1 = 3 x 39 = 117
m2 = 39 + 24 = 63
117 + 63 = 180 degrees
60 60 and 60. Hope I helped!
Answer:
A) 29/8
Step-by-step explanation:
On the left side of the equals sign, we have five x's and nine -1's.
On the right side of the equals sign, we have three -x's and twenty 1's.
Both sides are equal, so:
5(x) + 9(-1) = 3(-x) + 20(1)
5x − 9 = -3x + 20
Add 3x to both sides.
8x − 9 = 20
Add 9 to both sides.
8x = 29
Divide both sides by 8.
x = 29/8
Put the other line in point slope form...(solve for y :D )
3y=15x+9
y=5x+3, so this line has a slope of 5
For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...
s1*s2=-1
So for the other line to be perpendicular to the first:
5m=-1, m=-1/5, thus our other line (so far) is:
y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":
-1=b-(-8)/5
-1=b+8/5
-1=b+1.6
b=-2.6
So the perpendicular line that contains the point (-8,-1) is:
y=-0.2x-2.6