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hodyreva [135]
3 years ago
14

1 and 2 are supplementary.If m1 = (3x-17) and m2= (5x+21) find the value of x

Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

22

Step-by-step explanation:

m1 + m2 = 180

3x - 17 + 5x + 21 = 180

3x + 5x + 21 - 17 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176 / 8

x = 22

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3/5

Step-by-step explanation:

(3-(-3))/(-3-(-5)) = 6/10 = 3/5

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3 years ago
A runner completed a 26.2-mile marathon in 210 minutes. Estimate the unit rate, in miles per minute. Round your answer to the ne
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3 years ago
An insurance company collected data from a class of high school sophomores on whether or not they have a cell phone and whether
NeX [460]

Answer:

C. Those who have a car tend to have a cell phone.

Step-by-step explanation:

The relative frequency for a data set n is calculated by dividing each frequency x_i by n.

We have a table that relates the use of cars and cell phones.

First, we take from the table the population that has a car.

n = 18

Then, of the students who have a car, 12 have a cell phone and 6 do not have a cell phone.

Then we calculate the relative frequencies f_{x_i} for those who have a cell phone and those who do not.

______________________________________________

Relative frequency   Students with car  n = 18.

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

C<em>ell phone     No cell phone      Total n</em>

 12/18                    6/18                     18

_______________________________________________

_______________________________________________

Relative frequency   Students with car  n = 18.

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

C<em>ell phone     No cell phone      Total n</em>

  0.666              0.333                   18

________________________________________________

Most students who have a car also have a cell phone.

Now we calculate the relative frequency for students who do not have a car.

_______________________________________________

Relative frequency  Students without a car  n = 7

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

<em>Cell phone       No cell phone             Total  n</em>

 2/7                     5/7                          7

_______________________________________________  

_______________________________________________

Relative frequency  Students without a car  n = 7

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

<em>Cell phone</em>      <em>  No</em> <em>cell phone           Total  n</em>

 0.286                 0.714                              7

_______________________________________________

Most students who do not have a car do not have a cell phone either.

<em>Then these data suggest that. Those who have a car tend to have a cell phone.</em>

Option C

6 0
4 years ago
(02.05)The figure shows three quadrilaterals on a coordinate grid:
LekaFEV [45]

Answer:

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Step-by-step explanation:

Consider the provided graph.

Figure Q is a quadrilateral with sides measuring 5 and 2

Figure S is a quadrilateral with sides measuring 5 and 2.

Figure W is a quadrilateral with sides measuring 10 and 4.

Two figures are similar if the shape of the figures are same but not necessarily same size.

Two figures are congruent if the size and shape of the figure are same.

Note: If two figures are congruent, then they are also similar, but converse is not true.

The dimensions of Q is equals to the corresponding dimensions of the rectangle S. Thus, Q and S are similar and congruent as they have the same shape and the same size.

The dimension of quadrilateral W is 2 times of quadrilateral Q and S. Thus the dimensions of W is proportional to dimensions of Q.

That means quadrilateral W is similar to Q and S but not congruent.

Thus, the correct option is A) Q and W are similar but not congruent.

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Answer:

2 ice creams each.I like cookies and creme ice cream.Tyy for the points

4 0
3 years ago
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