Its D because vertical angles are right across from each other!
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
The balance at the beginning of the second month on the credit card, based on a 12.75% APR, is <u>$28,02.85.</u>
<h3>What is the APR?</h3>
The APR or annual percentage rate is the cost of finance charged to the borrower of a loan or a credit cardholder.
When the APR is divided by 12 months, it results in MPR, which can be used to determine the interest.
<h3>Data and Calculations:</h3>
Credit card balance at the beginning of the first month = $2,744.69
APR = 12.75%
Monthly APR = 1.0625% (12.75/12)
Late Fee = $29
Ending balance at the beginning of second month = <u>$28,02.85</u> ($2,744.69 x 1.010625% + $29)
Thus, the balance at the beginning of the second month on the credit card, based on a 12.75% APR, is <u>$28,02.85.</u>
Learn more about the APR at brainly.com/question/2772156
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In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
