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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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-BARSIC- [3]

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area

Perimeter of Base = 6 * 4 = 24
Base Area = 6 * 6 = 36

Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Pyramid Surface Area = (½ * 24 * 6) + 36
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3 0
3 years ago
How many ink cartridges can you buy with 150 dollars if one cartridge costs 15 dollars ?
musickatia [10]

Answer:

10

Step-by-step explanation:

Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)

So to put it "all together":

150 ÷ 15 = 10.

10 is your answer.

Hope this helps and have a nice day!

8 0
3 years ago
A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters,
tino4ka555 [31]
You answer would be 80 cm^2
7 0
3 years ago
What is the rate of the graph shown below answer and i will make you branilest
spayn [35]

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

7 0
2 years ago
From 15 to 27 what is the percentage increase ?
Scorpion4ik [409]

<u>Answer:</u>

80

<u>Step-by-step explanation:</u>

(27-15):15*100 =

(27:15-1)*100 =

180-100 = 80

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

3 0
3 years ago
Read 2 more answers
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