Answer:
Step-by-step explanation:
XY = 1/2 * QR (According to the midpoint theorem)
=1/2 * 15.6
=15.6/2
=7.8 m
Answer:
8 2/3 units.
Step-by-step explanation:
As bothe the circles and the arcs are congruent, the chords QR and LN are also congruent.
So LN = QR
x + 7 = 4x + 2
7 - 2 = 4x - x
3x = 5
x = 5/3.
Therefore the length of QR = 4x + 2
= 4(5/3) + 2
= 20/3 + 6/3
= 26/3
= 8 2/3 units.
Answer:
35%
Step-by-step explanation:
See attached for visual
- 160= 8*20
- 8 = 1/20 = 5% of 160
- 56= 8*7
- 7*5% = 35%
56 is 35% of 160
Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for <em>x</em>
- <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
- <u>Combine like terms:</u> -x + 7 = -6x + 8
- <u>Add 6x to both sides:</u> 5x + 7 = 8
- <u>Subtract 7 on both sides:</u> 5x = 1
- <u>Divide by 5 on both sides:</u> x = 1/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5
Her estimate is not reasonable.
Since she estimated 69%, you could do either of these options. You could...
A. Divide 242 (or .5) to show how much half off would be, then compare her estimate with half of 242 (121). OR...
B. Simply divide 242 by 69% (.69) and compaor her estimate to the exact amount (166.98).
I hope this helps!
