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Dvinal [7]
3 years ago
9

Two angles form a linear pair. The measure of one angle is 1/3 of the other angle. Find the measure if each angle

Mathematics
1 answer:
sdas [7]3 years ago
5 0

Answer:

<em>The measure of the angles is 45° and 135°</em>

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

x+y=180

We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

x+3x=180

Simplifying:

4x=180

Solving:

x=180/4=45

The other angle is:

y=3x=3\cdot 45=135

Thus the measure of the angles is 45° and 135°

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URGENT HELP What is the equation of the line that passes through the point (-7, -4) and has a
shepuryov [24]

The final equation is:

y=x+3

Further explanation:

The general form of equation of a line in slope-intercept form is:

y=mx+b

Here m is the slope

Given

m=1

(x,y) = (-7,-4)

Putting\ the\ value\ of\ slope\ in\ equation\\y=(1)(x)+b\\y=x+b

To find the value of b, we have to put the point in the equation

-4=-7+b\\-4+7=b\\b=3

The final equation is:

y=x+3

Keywords: Slope-intercept form, equation of line

Learn more about slope-intercept form at:

  • brainly.com/question/6594923
  • brainly.com/question/6698921

#LearnwithBrainly

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2 years ago
6x-21&gt;3 and 14x+11&gt;-17
Delicious77 [7]
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8 0
2 years ago
(1.2×10^2) + (3.04×10^5)
PSYCHO15rus [73]

(1.2×10^2) + (3.04×10^5)

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3.04 *10^5   to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2

1.2 * 10^2   + 3040 *10^2=

add the numbers keep the exponents the same

3041.2 * 10^2

there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent

3.0412 * 10 ^ (2+3)

3.0412 * 10^5


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3 years ago
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galina1969 [7]

Answer:

B

Step-by-step explanation:

The answer is B

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2 years ago
What is the lateral surface area of a prism
Lesechka [4]

Answer:

The lateral area of a figure is the area of the non-base faces only.

I hope this helps you!

Step-by-step explanation:

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2 years ago
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