The circle below has center S. Suppose that m OR = 44º. Find the following.
(a) m2 QPR =
(b) m2 QSR =

a) m∠QPR = 22°

b) m∠QSR = 44°

Step-by-step explanation:

central angle and inscribed angle

Given measure of arc QR = 44º

We should know the following:

The measure of arc equal to the central angle containing that arc

The measure of arc equal two times the inscribed angle containing that arc

According to the previous:

a) ∠QPR is an inscribed angle opposite to the arc QR

So, m arc QR = 2 m∠QPR

∴ ∠QPR = m arc QR/2 = 44/2 = 22°

b) ∠QSR is the central angle opposite to the arc QR

So, m arc QR =  m∠QSR

∴ m∠QSR = 44°

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.