Answer:
∠ 3 = 60°
Step-by-step explanation:
∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then
4x + 36 + 3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Then
∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°
∠ 2 and ∠ 3 are alternate angles and are congruent, so
∠ 3 = 60°
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Answer:
Correct option: second one
(Volume will be 9 times higher)
Step-by-step explanation:
The volume of a cylindrical can is given by the formula:
V = pi * r^2 * h
Where r is the base radius and h is the height.
If the new radius will be the triple of the old radius and the height will be the same, we have:
r' = 3r
h' = h
So, we can find the new volume V':
V' = pi * r'^2 * h'
V' = pi * (3r)^2 * h
V' = pi * 9r^2 * h = 9 * (pi * r^2 * h) = 9V
So we have that the new volume will be 9 times higher than the old volume.
Correct option: second one.
4, 5, 6, 7, 8, . . .
a = 4, d = 5 - 4 = 1, n = 150
Sn = n/2[2a + (n - 1)d]
S(150) = 150/2[2(4) + (150 - 1)1] = 75[8 + 149] = 75(157) = 11,775