Answer:
x=30
Step-by-step explanation:
The two angles are supplementary. They add to 180
4x+20 + 40 =180
Combine like terms
4x+60 =180
Subtract 60 from each side
4x+60-60 = 180-60
4x = 120
Divide each side by 4
4x/4 = 120/4
x = 30
Answer:second choice
Step-by-step explanation:they would match up
Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.
2x + 2 = 3x - 52
-x = -54
x = 54
___________
| |
| 54 |
|__________|
The answer is inside a box.
Answer:
x=9
Step-by-step explanation:
We can use similar triangles and ratios. Put the small triangle side over the large triangle side.
9cm 3x -20
---------- = ---------------- We need to add the sides to get to the larger triangle
72+9 cm 3x-20 + 56
We can cross multiply to solve
9 * (3x-20+56) = (72+9) * (3x-20)
Simplify
9*(3x+36) = 81*(3x-20)
Distribute
27x +324 = 243x -1620
Subtract 27x from each side
27x-27x +324 = 243x-27x -1620
324 = 216x-1620
Add 1620 to each side
324+1620 = 216x
1944 = 216x
Divide each side by 216
1944/216 = 216x/216
9=x
The slope of this line is -1 because it goes down one and to the right one
