A circle has a circumference of 10\blue{10} 10 start color #6495ed, 10, end color #6495ed . It has an arc of length 92\dfrac{9}{

Given:

It is stated that

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the measure of ∠QPR.

Formula

According to the problem PR sits between PQ and PS,

Consequently,

∠QPR+∠RPS = 90°

Now,

Inserting the values for ∠RPS and ∠QPR yields

or,

or,

or,

or,

Substituting the value of into ∠QPR gives us

∠QPR =

or, ∠QPR =

So,

The measure of ∠QPR is 40°.

Each of the six payments amounts to $41.50

Step-by-step breakdown:

Given,

Total cost of the bike including taxes = $349

Initial payment = $100

Remaining balance = Total cost of bike - Initial payment

Remaining balance = 349 - 100

Remaining balance = $249

She opts to pay in six equal installments, so we divide the total remaining by 6.

Monthly payment =

Monthly payment =

Each of the six payments amounts to $41.50

Keywords: division, subtraction

Learn more about subtraction at: