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tankabanditka [31]
3 years ago
15

A line that includes the points ( - 2, - 9) and ( - 6,n) has a slope of - 1. What is the value of n?

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Write out the slope formula:

m = (change in y) / (change in x)

Here,

m = n-(-9) / (-6-(-2)) = (n+9 / (-4)

Now set this slope equal to -1 and solve the resulting equation for n:

(n+9) / (-4) = - 1, or   (n+9) / 4 = 1, or n+9 = 4.  Then n = -5.

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If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have?
gizmo_the_mogwai [7]

Answer:

<u>The regular polygon has 13 sides</u>

Correct statement and question:

If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?

Source:

1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.

Step-by-step explanation:

Let's recall that the formula of the sum of the interior angles of any polygon is:

Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.

Therefore, replacing with the value we know:

1,980 = (n-2) * 180

n - 2 = 1,980/180

n - 2 = 11

<u>n = 13</u>

7 0
3 years ago
Write an equation of the line that passes through the points<br> (0, 3) and (-5, 0).
Setler [38]

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

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

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

5 0
3 years ago
Read 2 more answers
At a certain time of day, a 5 foot tall man has an 8 foot shadow. If a tree is 20 feet tall, what is the distance between the tr
Leto [7]
If they're asking the distance between the tree and the man's shadow, that would be 12ft and if they're asking the distance between the tree and the actually man, that would be 15ft :).
5 0
3 years ago
I will mark the best answer as brainliest.
dimulka [17.4K]

Answer: They didn't solve the problem all the way, you need to find the square root of 674. The final answer is 25.96

Step-by-step explanation:

a^{2} + b^{2}= c^{2}

7^{2} + 25^{2} = 674

\sqrt{674} = 25.96

6 0
3 years ago
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. Loraine had some flour in a jar. She made one batch of muffins that used 4 ¼ cups of flour. She now has 7 ¾ cups of flour left
zaharov [31]

Answer:

12 cups

Step-by-step explanation:

lets break it up, 7+4 = 11 and 3/4 + 1/4 = 1 and 11 + 1 = 12, so the answer is 12.

6 0
3 years ago
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