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rjkz [21]
3 years ago
6

Summarize the ways to show that a quadrilateral is a parallelogram

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

First of all if both pairs of opposite sides of a quadrilateral are parallel, then it’s a parallelogram also If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram  (congruent sides are the same shape and size)

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vampirchik [111]

Answer:

4. (d, the last one)

5. (a, the first one)

Step-by-step explanation:

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Find two integers whose sum is 3 and product is -108.
AleksandrR [38]

Answer:

12 and -9

Step-by-step explanation:

12 x -9 = -108

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3 years ago
The average number of employees that call in sick for the day over the course of a year is 25.
sveta [45]

Answer:

<h3>x¯= 23.8 </h3><h3>μ= 8.2 </h3>

Step-by-step explanation:

<h3>Find the mean. </h3>

 

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

                                   11

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

            11

<h3>Divide  261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s=  n^∑  i=1    √(<u>xi−xavg</u>)²

                            N-1

             

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

                                       11−1

<h3>Simplify the result. </h3>

 

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

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3 years ago
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Is 44/37 a rational number
Katena32 [7]

Answer:

no

Step-by-step explanation:

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1. A line passes through the points (3, 15) and (9, 45). What is the slope of this line?​
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Answer:

m=5

Step-by-step explanation:

      Y2-Y1

m= ______

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____= ____

9-3         6

30/6=5

m=5

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2 years ago
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