An angle measures 66° more than the measure of its complementary angle what is the measure of each angle
1 answer:
Answer:
The measures of the two angles are 12° and 78°
Step-by-step explanation:
Let us explain what is the complementary angles
<em>Two angles are complementary if the sum of their measures is 90°</em>
<u>Example:</u>
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
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Answer:
$ After 3 years
Step-by-step explanation:
Use I P R T it's a method for simple interest
I = Interest
P = Amount of money
R = Percent in decimal
T = Time in years
Answer:
I = (we dont know yet)
P = $
R = %
T =
Steps:
1. Set up your numbers with the method I P R T.
2. $65 will be your amount of money.
3. 7.5% needs to be converted because you will need to multiply later on in the problem. Simply move 2 places to the left to convert your percent into a decimal.
4. They want to know the total amount of money in his account at the end of 3 years. So 3 years will be your time in years.
5. After setting up your problem you need to multiply your Amount of money x percent as decimal x time in years.
6. After you find your interest you need to add your amount of money + interest.
Money after 3 years
hope this helped