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erma4kov [3.2K]
3 years ago
8

Find the values of x and y for which ABCD must be a parallelogram.?

Mathematics
2 answers:
Semmy [17]3 years ago
7 0
2x - 2 = x + 2
2x - x = 2 + 2 = 4
x = 4

5y - 8 = y + 24
5y - y = 24 + 8
4y = 32
y = 8.
oksian1 [2.3K]3 years ago
7 0
I hope this helps you

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40.7..........................
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34:2 or 34 to 2
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2 years ago
Which expression is equivalent to absolute value of 8 + absolute value of -7
anzhelika [568]

Answer:

8+7

Step-by-step explanation:

Absolute value is when you calculate how far away the number is from zero.

Since 8 is 8 spaces away from zero, then the absolute value of 8 is 8.

Since -7 is 7 spaces away from zero, then the absolute value of -7 is 7.

So, in conclusion, an equivalent expression can be 8+7

4 0
3 years ago
Read 2 more answers
The data show the traveler spend- ing in billions of dollars for a recent year for a sample of the states. Find the range, varia
Svetllana [295]

Solution :

Given data :

20.1     33.5     21.7      58.4     23.2     110.8     30.9

24.0    74.8     60.0

n = 10

Range : Arranging from lowest to highest.

20.1,   21.7,   23.2,    24.0,   30.9,    33.5,    58.4,    60.0,    74.8,   110.8

Range = low highest value - lowest value

           = 110.8 - 20.1

           = 90.7

Mean = $\frac{\sum x}{n}$

         $=\frac{20.1+21.7+23.2+24.0+30.9+33.5+58.4+60.0+74.8+110.8}{10}$

          $=\frac{457.4}{10}$

         $=45.74$

Sample standard deviation :

$S=\sqrt{\frac{1}{n-1}\sum(x-\mu)^2}$

$S=\sqrt{\frac{1}{10-1}(20.1-45.74)^2+(21.7-45.74)^2+(23.2-45.74)^2+(24.0-45.74)^2+(30.9-45)^2}$  

      \sqrt{(33.5-45.74)^2+(58.4-45.74)^2+(60.0-45.74)^2+(74.8-45.74)^2+(110.8-45.74)^2}

$S=\sqrt{\frac{1}{9}(657.4+577.9+508.0+472.6+220.2+149.8+160.2+203.3+844.4+4232.8)}$$S=\sqrt{\frac{1}{9}(8026.96)}$

$S=\sqrt{891.88}$

S = 29.8644

Variance = S^2

               =(29.8644)^2

               = 891.8823

6 0
3 years ago
Which best describes the relationship between the line that passes through the points
yulyashka [42]

Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x =  -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

7 0
3 years ago
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