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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I got 42.5 cuz 4x+10=180 then take away 10 from both sides so 4x=170 and you divide each side by 4
Answer:
y=-30+6+6 I hope it helps
have a good night
To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.
If you used 3 of these, you are left with 1/4.
Out of the 1/4 leftover, you create 5 equal-sized pieces.
1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.
