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nikitadnepr [17]
2 years ago
7

Find the measure of an angle whose complement is five times its measure.

Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

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3 years ago
Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius. A sphere. The c
liq [111]

Answer:

Kayla is correct; the center is a fixed point in the middle of the sphere.

Step-by-step explanation:

Kayla is correct. Raymond is wrong because a point cannot be a radius: a radius is a line segment from the center to the surface.

The center is the fixed point in the middle of the sphere.

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3 years ago
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When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
3 years ago
100 decreased by 50% and 150 decreased by 60%<br><br><br> Compare
sertanlavr [38]

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Step-by-step explanation: Decrease number by 60% of its value. Percentage decrease = 60% × 150 New value = 150

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2 years ago
*Absurd answers will be reported* Can the fraction 12/30 be reduced/simplified? If it can, what can it be reduced by?
Fynjy0 [20]

Answer:

divided by 3 12/30 = 4/10 = 2/5

Step-by-step explanation:

4 0
3 years ago
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