Volume of a prism=LWH
V=12 3/8 * 10*5
V=12.375 * 50
V=618.75
The volume of the prism is 618.75yd³
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;

From equation [1];

Combine like terms :

Divide both sides by 2 we get;

Simplify:

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴ 
Therefore, the measure of each angle is 
Answer:
See below.
Step-by-step explanation:
Part A.
I'm changing the l and w to capital letters, so you don't confuse the l (small-case L) with a 1 (one).
P =2(L + W)
Since W is on the right side, switch sides to end up with W on the left side.
2(L + W) = P
Since the quantity in parentheses is being multiplied by 2, we divide both sides by 2.
L + W = P/2
L is being added to W, so we subtract L from both sides.
W = P/2 - L
Part B.
First, I switched sides to have W on the left side. Then, I divided both sides by 2. Finally, I subtracted L from both sides.
The answer is yes but not if so