Answer:
translate (x,y) (x-5,y+8)
Answer:
-30 feet
Step-by-step explanation:
You are going down so it would be negative, if you were going up it would be posotive.
∠DCE = ∠BAE because of alternate interior ∠s
∠CDE = ∠ABE because of alternate interior ∠s
Triangle DCE is congruent to Triangle BAE because of ASA
AE = CE because of CPCTC
BE = DE because of CPCTC
Answer:
Equation: 2x + 3x + 10 = 180
x = 34
Top angle = 68 degrees
Bottom angle = 112 degrees
Step-by-step explanation:
The two angles add to 180, so set them equal to 180.
2x + 3x + 10 = 180
5x + 10 = 180
- 10 - 10
5x = 170
/ 5 / 5
x = 34
Plug x into angles,
2(34) = 68
3(34) + 10 = 112
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
So the length of the longest side is 2sqrt(10) units
