Answer:
Step-by-step explanation:
Remark
The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.
Givens
x - 20 is one angle
52 is the other.
Solution
x - 20 = 52 Add 20 to both sides.
x - 20 + 20 = 52 +20 Combine
x = 72
Answer: C
Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3
The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)
Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
Answer:
Parameter of base = 70.88 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 3768 cubic inch
Height of Prism = 12 inch
Find;
Parameter of base
Computation:
Volume of cylinder = Volume of Prism
3768 = (L)(B)(H)
3768 = (L)(B)(12)
(L)(B) = 314
L = B
So.
L = 17.72 inch
B = 17.72 inch
Parameter of base = 2[l+b]
Parameter of base = 2[17.72 + 17.72]
Parameter of base = 70.88 inch (Approx.)
