Step-by-step explanation:
first expand :
6p +36 -p +6
5p+42
With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM.
So set KNL = JNM:
3(x+14) = 5x+2
3x+42 = 5x+2
3x+42 -42 = 5x+2 -42
3x = 5x -40
3x -5x = 5x-5x -40
-2x = -40
-2x/-2 = -40/-2
x = 20
Now plug that into x for KNL:
KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
Answer: 1404
Step-by-step explanation:
V=πr^2h
(3)(6)^2(13)
(3)(36)(13)=1404
The magnitude of a real number without regard to its sign.
Answer:
3(2 + sqrt(2)) ft (exact)
10.2 ft (3sf)
Step-by-step explanation:
Length of the hypotenuse:
hypotenuse² = 3² + 3² = 18
hypotenuse = sqrt(18) = 3sqrt(2)
Perimeter = 2(3) + 3sqrt(2)
= 3(2 + sqrt(2))
= 10.2 (3sf)