The measure of both angles are 112.5 and 68.5 degrees
<h3>Complementary angles</h3>
The sum of two complementary angles is 90 degrees.
If two angles are complementary, then;
x + y = 90
x = 90 - y..........1
where x and y are the angles
If two times the measure of one is equal to 40% of the measure of the other then;
2x = 0.4y ............2
Substitute equation 1 into 2
2(90-y) = 0.4y
180 - 2y = 0.4y
180 = -0.4y + 2y
1.6y = 180
Divide both sides by 1.6
1.6y/1.6 = 180/1.6
y = 112.5 degrees
For the other angle
x= 180 - y
x = 180 -112.5
x = 68.5 degrees
Hence the measure of both angles are 112.5 and 68.5 degrees
Learn more on complementary angles here: brainly.com/question/16281260
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Answer:
x+(x-3)+(2*x)=41
Step-by-step explanation:
We know that the other two bills are based of of a constant value for fives. Therefore, the fives can be x. There are 3 less tens than fives, so the number of tens equals x-3. We double the number of fives to get the number of ones, so the number of ones equals 2 times x. When we add all 3 of those together, we get our total number of 41. If you want to solve, you have to solve for x, then you can plug it back into the formula. I hope this helps!
Answer:
38
Step-by-step explanation:
Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?
14S + 4C = 200
14S = 200 - 4C
S = (200 - 4C)/14
7S + 1C = 92
7S = 92 - C
S = (92 - C)/7
(200 - 4C)/14 = (92 - C)/7
7 x (200 - 4C) = 14 x (92 - C)
1400 - 28C = 1288 - 14C
1400 - 1288 = 28C - 14C
112 = 14C
C = 112/14 = 8
the price of one child ticket = $8
Answer: 4.500
Step-by-step explanation:
4x - 18 = 2 • (2x - 9)
2 = 0
2x-9 = 0
2x = 9
x = 9/2 = 4.500
