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just olya [345]
3 years ago
12

two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up

to 90°) Show ur work
Mathematics
2 answers:
evablogger [386]3 years ago
6 0

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

ElenaW [278]3 years ago
4 0

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

a+b=90

And we are told their difference is 36. Therefore:

a-b=36

Solve for the system of equations. Add b to both sides in the second equation:

a=b+36

Substitute this into the first:

(b+36)+b=90

Combine like terms;

2b+36=90

Subtract 36:

2b=54

Divide by 2:

b=27

So, b is 27 degrees.

Use the second equation again:

a-b=36

Now that we know b is 27, substitute:

a-27=36

Add 27 to both sides:

a=63

So, a is 63 degrees.

And we're done :)

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27%

Step-by-step explanation:

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3 years ago
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21.12 is 25.6% of 82.5. I hope this helps. :)
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3 years ago
Answer this and get 50 points.​
stealth61 [152]

Answer:

I drew more points as uploaded picture.

We have, arc BD + 210 + 90 = 360 deg

(sum of all arcs on circle)

=> arc BD = 360 - 210 - 90 = 60 deg

Here we have angle CBD = (1/2) x arc CD = (1/2) x 90 = 45 deg

(property of angle on circle)

=> angle ABD = angle ABC - angle CBD = 180 - CBD = 180 - 45 = 135 deg

( A, B, C lie on same line => ABC = 180 deg)

Otherwise, we have:

angle BDA = (1/2) x arc BD = (1/2) x 60 = 30 deg

We have: x + angle BDA + angle ABD = 180 deg

(sum of all angles in a triangle)

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=> x = 180 -135 - 30

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Hope this helps!

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3 years ago
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Jennifer has a job that pays her $5200 per month. She also has to pay
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Answer:

4394

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6 0
2 years ago
In figuring is net income Mr. Hall kids listed his salary income of $15,000, $258 from dividends, and $2562 from the sale of pro
Elan Coil [88]
To find net income, find the money mr. hall gained, and subtract how much he loss

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$1598
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total: $2992



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