Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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Answer:
33.89
Step-by-step explanation:
How to Calculate Rounding to the Nearest 100th?
If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example
124.586
The third digit of right of decimal point is 6
The second digit after decimal point is 8 which is greater than 5
So add 1 to 8
Result = 124.59
The answer is 9.857. This can be rounded.
30% = .3
.3(24.40a + 14.50c)
24.40 = cost of adult ticket
14.50 = cost of child ticket
a = # of adult tickets sold
c = # of child tickets sold
.3 * 24.40a + .3 * 14.50c
answer: 7.32a + 4.35c
That is a 4 out of 10 chance that the second number is odd, as well as the first.
