Answer:
m∠1 + m∠2 = 180°
Step-by-step explanation:
An interior angle and its exterior angle are supplementary (they add up to 180°).
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<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;

Substituting the values, we have;


Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,

Substituting
and r =15, we get;



Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
Work only with the second equation at the beginning. Solve for x for it.
7x - 2x = 3 Combine the left hand side.
5x = 3 Divide by 5
5x/5 = 3/5 Do the division
x = 3/5 = 0.6
==============
Now work with the top equation.
3(0.6) + 5y = 13 Multiply on the left.
1.8 + 5y = 13 Subtract 1.8 from both sides.
1.8 - 1.8 + 5y = 13 - 1.8 Do the subtraction
5y = 11.2 Divide by 5
5y/5 = 11.2/5
y = 2.24 Answer
Answer:
Step-by-step explanation:
a - 7 = 3(b + 2)
a - 7 = 3b + 6
a - 7 - 6 = 3b
a - 13 = 3b
(a - 13) / 3 = b <====
Answer:
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Step-by-step explanation:2,500*12=30,000 45000-30,000=15,000