Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
Answer:
tarlak iefdiebdid didbdkd
Answer:
15552 in^3
Step-by-step explanation:
Volume formula for a cube of side length s: V = s^3.
Then the total volume here is:
(24 in)^3 + (12 in)^3 = 15552 in^3
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ 
divide 0.35 on both sides
⇒ 
solve:
⇒ x = 80
Answer:
156 ft^3
Step-by-step explanation:
1) find the volume of the parallelepiped:
V = side^2 x height = 6^2 x 3 = 108 ft^3
2) find the base area of the pyramid:
base area = side^2 = 6^2 = 36 ft^2
3) find the volume of the pyramid:
V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3
4) find the total volume
V = 108 + 48 = 156 ft^3
