Answer:
The radius of the circle is 24 inches.
Step-by-step explanation:
Central angle in a sector is 90 degrees
Area of a sector is 
The area of sector is given by the formula as follows :
r is the radius of circle
So, the radius of the circle is 24 inches.
Carats, known as ct, is a measure of weight used for gemstones.One carat is equal to 1/5 of a gram (200 milligrams). Stones are measured to the nearest hundredth of a carat. So, the equation would be as follows:
m = c x 200
where m is the mass in units of milligrams and c is the weight in units of carats.
Hope this helped. Have a nice day.
Answer:
40
Step-by-step explanation:
That is literally all there is to it
The value of
- m∠PQS = 71°
- m∠PQT = 142°
- m∠TQR = 41°
Given
SQT = (8x₋25) and PQT = (9x₊34)
SQR = 112°
we need to find the x angle and the remaining angles.
we know that QS bisects ∠PQT
⇒ 2(8x₋25)° = (9x₊34)°
(16x ₋ 30)° = (9x₊34)°
16x ₋ 9x = 34 ₋ 30
x = 12°
substitute x value in the given values of angles.
m∠PQS = (8x ₋ 25)° = (8(12)₋25) = 71°
m∠PQT = (9(12)₊34) = 142°°
m∠TQR = 112° ₋ ∠PQS = 112° ₋ 71° = 41°
hence we get the desired angles from the given angles.
Learn more about Angles here:
brainly.com/question/24839702
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