Answer:
A. x = 8.
B. x = 31.
C. x = 32.
Step-by-step explanation:
Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.
MN + RS = 2PQ
32+ x = 2*20
x = 40 - 32
x = 8.
MN + RS = 2PQ
20 + 42 = 2PQ
2x = 62
x = 31
MN + RS = 2PQ
22 + 42 = 2PQ
2x = 64
x = 32.
Answer:

Excluded values are 3 and -4
Step-by-step explanation:
To simplify the expression multiply to create a common denominator.
Multiply the first fraction by (x-3) and the second fraction by (x+4).


Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.
Answer:
no
Step-by-step explanation:
You can get two half cups and then two eigth cups or you can get fourteen eigth cups
Call the length a, the width b
Perimeter = (a+b) x 2
And since we have (a+b) x 2 = 43.6, a + b = 43.6 : 2 = 21.8
a + b = 21.8
a - b = 7
-> a + b + (a - b) = 28.8
2a = 28.8
a = 14.4
b = 7.4
So, the area of the rectangle is 14.4 x 7.4 = 106.56