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:
x = 8
Step-by-step explanation:
Notice that the x-coordinates of the two points are both 8. Thus, the points are on the vertical line x = 8.
Answer:
Ok here
Step-by-step explanation:
Given the table
C : 1, 2, 3, 4, 5
F(C) : 4, 6, 8, 10, 12
Usually, the independent variable is represented by the x-value while the dependent variable (or the function) is represented by the y-value.
Thus the points represented by the table are:
(1, 4), (2, 6), (3, 8), (4, 10) and (5, 15).
Answer:
50.5
Step-by-step explanation:
