Step-by-step explanation:
21:18=7:6
42:36=7:6
63:54=7:6
90 + (5x-2) + (2x+8) = 180
90 + 5x - 2 +2x + 8 = 180
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12
m<J = 5x - 2
m<J = 5(12) - 2
m<J = 60 - 2
m<J = 58
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
- h = height = 24 cm
- r = radius = 5 cm
- π = pi ≈ 3.14
π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
Answer:
From the Pythagorean theorem...
[ distance between (a, 7) and (2, 1) ]2 = [a - 2]2 + [7 - 1]2
And they tell us that the distance equals 3√5 , so
[ 3√5 ]2 = [a - 2]2 + [7 - 1]2
45 = [a - 2]2 + 36
9 = [a - 2]2
±√9 = a - 2
± 3 = a - 2
± 3 + 2 = a
a = 3 + 2 = 5 or a = -3 + 2 = -1
and
5 + -1 = 4
Step-by-step explanation:
hope dis helps
