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kotykmax [81]
3 years ago
14

In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first.

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

A= 29

B=34

C=117

Step-by-step explanation:

<u>A triangle has three sides and a triangle always adds up to be 180</u>

A + B + C = 180

B = A + 5

C = 4A + 1

Plug in.

A + A + 5 + 4A + 1 = 180

6A + 6 = 180

6A = 174

A = 29

<u>Now since you found A, find the other two by plugging A in!</u>

C = 4(29) + 1

C = 117

<u>Plug in the B equation</u>

B = 29 + 5

B=34

Check your answers

29 + 117 + 34 = 180

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Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
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Answer:

C) 7

===========================================

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
Read 2 more answers
The graph of a linear function is shown on the grid
monitta

Answer: Choice A

y + 1 = -3(x+2)

=============================

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

With choice A, the slope is negative and choice B has a positive slope.

The answer must be choice A because the line is going downhill as we move from left to right.

--------------

A common method is to pick two points on the line and compute the slope using the slope formula

m = (y2-y1)/(x2-x1)

Once you know the slope, you would use point slope form

y - y1 = m(x - x1)

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If Ann travels 50 meters North, 200 meters East and 150 meters South, what is her total distance travelled ? A. 150 meters B.400
olga2289 [7]

Answer:

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Step-by-step explanation:

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Jeff sold the pumpkins he grew for $7 each at the farmers market. If Jeff sold 30 pumpkins how much money did he make. Write an
SVEN [57.7K]

Jeff made $210 by selling 30 pumpkins.

Step-by-step explanation:

Given,

Selling price of each Pumpkin = $7

Number of pumpkins sold by Jeff = 30

We will multiply number of pumpkins sold by selling price per pumpkin.

Amount made by Jeff = Price per pumpkin * Number of pumpkins

Amount made by Jeff = 7 * 30 = $210

Therefore;

Jeff made $210 by selling 30 pumpkins.

Keywords: multiplication

Learn more about multiplication at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

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