The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1
The two complementary angles are 77 degrees and 13 degrees
<em><u>Solution:</u></em>
Given that two angles are complementary angles
Complementary angles are two angles whose sum is 90 degrees
Let one of the angle be "x" and the other angle be "y"
Therefore,
x + y = 90 ------ eqn 1
Also given that,
One angle is one less than six times the measure of another
one angle = six times the other angle - 1
x = 6y - 1 ------ eqn 2
Substitute eqn 2 in eqn 1
6y - 1 + y = 90
Thus the above equation is used to find the measure of each angle in degrees
Solve the above equation
6y + y - 1 = 90
7y - 1 = 90
7y = 91
y = 13
Substitute y = 13 in eqn 2
x = 6(13) - 1
x = 78 - 1
x = 77
Thus the two complementary angles are 77 degrees and 13 degrees
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Answer: 4 in. wide
Step-by-step explanation: to get from 8 to 2, you divide by 4.
if you divide 16 by 4, the answer is 4
Answer: He has planted 2/3 and there is 1/3 left to plant.
Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.
This isn’t too difficult because the denominators are the same.
5/12 + 3/12 = 8/12
It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.
So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.
8/4 = 2
12/4 = 3
So 8 is now 2, and 12 is now 3.
This is now 2/3.
If there is 2/3 gone, you need to figure out how much is left to get you to 1.
In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.
In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.
This means Peter has 1/3 left to plant.
Hope this helps :)
Answer:
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Step-by-step explanation:
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