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gulaghasi [49]
4 years ago
9

The length of two complementary angles are x and 2x+12. Find the measures of the angles.

Mathematics
1 answer:
Shtirlitz [24]4 years ago
4 0

There's no such thing as the "length"of an angle. 
But we know what you're getting at.

You have said that the angles are complementary.  If two angles are
complementary, then  their sum is 90 degrees, so we can take your
two angles and write:

                       <u>x</u>  (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees

</u>
<u />                          x + 2x + 12  =  90<u>

</u>
Subtract 12 from each side:     x + 2x  =  78

Add the x's on the left side:        3x      =  78

Divide each side by  3 :                x      =  26 degrees

One angle is 'x'  =  <em>26 degrees</em>

The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
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7 0
3 years ago
A 5% destroys solution is given intravenously. Suppose a total of 2.64 L of the solution is given over a 19-hour period. What is
kow [346]

Answer:

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Step-by-step explanation:

We are given the following in the question:

Volume of solution = 2.64 L

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Unit rate of flow =

=\dfrac{\text{Volume}}{\text{Time period}}\\\\=\dfrac{2640}{19}\\\\=138.95\text{ mL per hour}

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5 0
3 years ago
Find (g • f) ^(3) PLEASE HELLPP
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The first thing we are going to do to find (g°f)(3), is find (g°f)(x). To do that, we are going to evaluate g(x) at f(x):
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Now, we can evaluate (g°f) at 3:
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6 0
3 years ago
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a b
Natalija [7]

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( \dfrac{1}{\sqrt{2}} )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

5 0
4 years ago
a cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord of wood in cubic feet?
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5 0
3 years ago
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