The correct answer is: Option (D) x = 72°
Explanation:
When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.
Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.
Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).
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The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface, 
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface, 
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism, 
The volume of the given trapezoidal prism is 312 cubic units.
Answer:
1) 15-4x
2) 3x+2
Step-by-step explanation:
1) product of x and 4 is 4x then subtract that from 15
2) use x as your age in this situation so your age times 3 is 3x and since he's 2 years older than that u add 2 more
Answer:
Area = 245m^2
Step-by-step explanation:
We can split this figure into 2 parts, a rectangle and a trapezoid.
Rectangle Sides = 10m and 20m
Area = 10m x 20m = 200m
Trapezoid formula = a+b/2(h)
a and b are the 2 bases and h is the height
Using a little deductive reasoning we get the following, 5+10/2(6)
This simplifies to 15/2(6) -->
7.5(6) = 45
Thus, our area is 200 + 45, or 245m^2