Divide both sides
3x+y-6=0
move variable
6x=12-2y
divide
x=2-1/3y
solve
Final answer:
x=2
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 °
Learn more about angle here
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Answer:
124 miles
Step-by-step explanation:
simplify mixed fraction as
6 1 / 5 = 31/5 inches
on the map 1 inch represent 20 miles
31/5 × 20
= (31 × 20)/5
= 620/5
= 124 miles
the distance between those two towns will be 124 miles.
Answer:
the answer is 32.8in.
Step-by-step explanation:
(sin 22)/42 = (sin 24)/x
x = 45.60
sin 46 = x/45.60
x = 32.80
32.8in.
hope it helped :)
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