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°
<span> if x = 2
9x + 13 = 9*2 + 13 = 18 + 13 = 31
</span><span>D) 31</span>
Answer:
the answer is 9.9
Step-by-step explanation:
The angle measures of any triangle = 180
adding 27 and 63. = 90
leaving 90 degrees for the remaining angle
therefore the triangle is a right triangle
by definition if a triangle has a 90 degree angle it's a right triangle
Answer:
The answer is 162.
Step-by-step explanation:
To find the percentage of a number:
Turn the percentage into a decimal. 90% to .90
Multiply the decimal by the number you want to find the percentage of. .90 x 180
The answer is the product.
