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Alexandra [31]
3 years ago
10

The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

Mathematics
1 answer:
olganol [36]3 years ago
4 0
We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
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Please help me with this
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Both angles added together = 180 degrees. They both have a straight line as their base.

So let <ABC = x

Then <CBD = 3x      Add the two angles

x + 3x = 180              Combine

4x = 180                    Divide by 4

4x/4 = 180/4

x = 45

So 3x = 3*45 = 135

6 0
2 years ago
In parallelogram ABCD, what is DC?<br><br> DC = in.
expeople1 [14]
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.

To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
\frac{6x}{6} = \frac{18in}{6}
x = 3in

Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in

To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
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7 0
3 years ago
Read 2 more answers
In the mall, 1/15 of the stores sell shoes. there are 180 stores in the mall. how many of the stores sell shoes
nordsb [41]
Take 180 * (1/15) = 12 shoe stores
8 0
3 years ago
Find the missing length of the triangle.<br> 10 in.<br> 16<br> 26 in.
Yanka [14]

Answer:

24

Step-by-step explanation:

26x26=676

10x10=100

676/100=576

The square root of 576 is 24.

8 0
3 years ago
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Aleksandr-060686 [28]
\left(\frac{3}{7}x+9\right)-\left(\frac{2}{7}x-3\right)\\\\=\frac{3}{7}x+9-\frac{2}{7}x-(-3)\\\\=\frac{3}{7}x+9-\frac{2}{7}x+3\\\\=(\frac{3}{7}x-\frac{2}{7}x)+(9+3)\\\\=\frac{3-2}{7}x+12\\\\=\boxed{\frac{1}{7}x+12}
4 0
3 years ago
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