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Norma-Jean [14]
3 years ago
15

Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

               -\dfrac67

Step-by-step explanation:

slope of r:

                  a_r=\dfrac{10-3}{8-2}=\dfrac76

s is perpendicular to r:

s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67

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In the last​ year, a total of 2727 earthquakes occurred in the country. Of​ these, 85.3 % were minor tremors with magnitudes of
Komok [63]

Answer:

Minor earthquakes occurred in the country in the last​ year were<u> 2326</u>.

Step-by-step explanation:

Given:

In the last​ year, a total of 2727 earthquakes occurred in the country.

Of​ these, 85.3 % were minor tremors with magnitudes of 3.9 or less on the Richter scale.

Now, to find the minor earthquakes occured in the country last year.

<em>Total earthquakes occurred in the country = 2727.</em>

<em>The percent of minor earthquakes = 85.3%</em>.

Now, to get the number of minor earthquakes:

85.3% of 2727.

=\frac{85.3}{100} \times 2727.

=\frac{232613.1}{100}

=2326.131

<em>The number of minor earthquakes nearest whole number = 2326.</em>

Therefore, minor earthquakes occurred in the country in the last​ year were 2326.

3 0
3 years ago
Gary surveys all of his classmates for a project.
postnew [5]

Answer:

A and D

Step-by-step explanation:

Statisical questions have to deal with numbers

B is age

C is year

E is a flavor of ice cream

6 0
3 years ago
Read 2 more answers
Express (x+9)^2 as a trinomial in standard form.
Andreyy89

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

5 0
2 years ago
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Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?
joja [24]
No Jane is not correct she has 25 cents where john has 30 cents
7 0
3 years ago
15 points please help!! :)<br> Find the value of x.
andriy [413]

Answer:

Question 4: -11

Question 5: -7

Step-by-step explanation:

Four

Every triangle has 180 degrees.

So all three angles add to 180

<em><u>Equation</u></em>

60 + 80 + x + 51 = 180

<em><u>Solution</u></em>

Combine the like terms on the left. This is the first time I've seen x be a negative value. Almost all of the time it isn't, which should make you wonder.

191 + x = 180    

Subtract 191 from both sides.

191 - 191 + x = 180 - 191

x = - 11

Five

If a triangle is a right triangle and one of the angles is 45, then so is the other one.

<em><u>Proof</u></em>

a + 45 + 90 = 180         Combine like terms on the left

a + 135 = 180                Subtract 135 on both sides.

a + 135-135=180-135    Combine the like terms

a = 45

<em><u>Statement</u></em>

That means 52 + x = 45 and here is another negative answer. Subtract 52 from both sides

52 - 52 + x = 45 - 52    Combine like terms.

x  = - 7

6 0
3 years ago
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