Answer:
The electrician has 14 feet of cable.
Answer: 80
Step-by-step explanation:
7824/10 = 782.4
The value represented by 8 is 80 or 8 tens.
Answer:
D
Step-by-step explanation:
Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
measure of exterior angle at C = 160°
Step-by-step explanation:
An exterior angle of a triangle equals the sum of the two remote interior angles
A and B are the remote interior angles. So,
m∠A + m∠B = measure of exterior angle at C
5x - 10 + 12x = 16x
17x - 10 = 16x
x = 10
measure of exterior angle at C = 16x = 16(10) = 160°