Answer:
2x + x + 63 = 180 to find x.
m<1 = 78 degrees
m<2 = 102 degrees
Step-by-step explanation:
Combine like terms: 3x + 63 = 180
Subtraction: 3x = 117
Division: 3x/3 = 117/3
Final Answer: x = 39
m<1 = 2(39) = 78 degrees
m<2 = (39 + 63) = 102 degrees
Check work: 102 + 78 = 180
(180 is the measure of a straight line such as the one represented here)
(0,4) (0,-2) (-2,0)
for the reflection over the x-axis, all the y values go to their opposite (0,-4) (0,2) (2,0)
then at the rotation it goes (-x,-y) and becomes (0,4) (0,-2) (-2,0)
Option A, x < 0
When looking at line graphs, it's relatively easy to figure out how they work.
Start by locating where the point is. In this case, the point is on 0. Now, is the point hollow? If it is, then you know that the inequality is either < or > (if it's hollow, it means that the integer isn't included). However, if the circle's filled in, you know that it's either ≥ or ≤ (if the circle's filled in, the integer is included)
Now, check to see which way the line goes. Does the number get smaller or bigger as you go across the line? If the number gets bigger, then x > 0. If the number gets smaller, then x < 0.
-T.B.
