9514 1404 393
Answer:
Step-by-step explanation:
Using the transformation ...
(x,y) ⇒ (y, -x) . . . . . . rotation 90° CW
we have ...
A(-4, 4) ⇒ A'(4, 4)
B(-2, 4) ⇒ B'(4, 2)
C( -2, 1) ⇒ C'(1, 2)
<h3>
Answer: 20% increase</h3>
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Explanation:
A = old value = 110
B = new value = 132
C = percent change
C = 100*(B-A)/A
C = 100*(132-110)/110
C = 20%
The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.
The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%
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Checking the answer:
20% of 110 = 0.20*110 = 22
She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.
<h3>
Answer: 128 degrees</h3>
Work Shown:
(angle CAD) + (angle CAB) = 180
angle CAD = 180 - (angle CAB)
angle CAD = 180 - 52
angle CAD = 128 degrees
You can get the number by dividing 19.2 by 0.40
The number is 19.2/0.40 = 48
X and y
x=2y+9
x-y=22
*x is the larger number*
plug in x to solve for y
2y+9-y=22
y+9=22
-9 both sides
y=13
plug in y and solve for X
x=2 (13)+9
x=26+9
x=35
