Answer:
The measure of arc SQ is 95° ⇒ (1)
Step-by-step explanation:
- The measure of any circle is 360°
- The measure of the subtended arc to an inscribed angle is twice the measure of this angle
In the given circle
∵ S lies on the circumference of the circle
∴ ∠QSR is an inscribed angle
∵ ∠QSR is subtended by arc QR
→ By using the 2nd rule above
∴ m arc QR = 2 × m∠QSR
∵ m∠QSR = 95°
∴ m arc QR = 2 × 95
∴ m arc QR = 190°
→ By using the 1st rule above
∵ m of the circle = m arc QR + m arc SQ + m arc SR
∵ m arc SR = 75° and m arc QR = 190°
→ Substitute them in the equation above
∴ 360 = 190 + m arc SQ + 75
→ Add the like term in the right side
∴ 360 = 265 + m arc QS
→ Subtract 265 from both sides
∵ 360 - 265 = 265 - 265 + m arc SQ
∴ 95° = m arc SQ
∴ The measure of arc SQ is 95°
Answer:
the red one
Step-by-step explanation:
The triangle <span>pyramid</span> is made up of 4 triangles.
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Formula:
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Area of triangle = 1/2 x base x height
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Area of the bottom triangle:
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Area = 1/2 x 9 x 7.8
Area = 35.1 yd²
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Area of the 3 side triangles:
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Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²
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Total Area:
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Total Area = 135 + 35.1
Total Area = 170.1 yd²
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Answer: Surface Area = 170.1 yd².
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Answer:
a. IT = 9.75 * X
b. GT = 4500 + 4.25 * X
c. G = 9.75 * X - 4500 - 4.25 * X
Step-by-step explanation:
With the data of the statement we can get a function. Let X be the number of pounds sold.
to. Monthly income
IT = 9.75 * X
b. Monthly expenses
GT = 4500 + 4.25 * X
c. Monthly Earnings (Monthly Income - Monthly Expenses)
G = 9.75 * X - (4500 + 4.25 * X)
G = 9.75 * X - 4500 - 4.25 * X
Answer: I think the perimeter is 17ab4
Step-by-step explanation: