Consider the equation 1.5x + 4.5y = 18.
1 answer:
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Answer:
- x = 30°
- RS = 30°, SR = TU = 120°, UR = 90°
- ∠P = 45°
- ∠UTS = 60°
Step-by-step explanation:
(a) If RS = x, then the sum of arcs around the circle is ...
x + 4x +4x +3x = 360°
12x = 360°
x = 30°
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(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°
- RS = 30°
- ST = 120°
- TU = 120°
- UR = 90°
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(c) Angle P is half the difference of arcs TU and RS:
∠P = (TU -RS)/2 = (120° -30°)/2
∠P = 45°
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(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...
∠UTS = 120°/2 = 60°
Answer:
<u>212,400 items</u> were sold in 10 months.
Step-by-step explanation:
Given:
Items sold this month = 70,800
Percent Increase in every month = 20%
We need to find number of items sold in coming 10 months.
Solution:
First we will find number of items increase in each month.
number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.
number of items increase in each month =
Now we will find number of item sold in 10 months.
number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.
framing in equation form we get;
number of item sold in 10 months =
Hence <u>212,400 items</u> were sold in 10 months.