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antoniya [11.8K]
4 years ago
12

ABCD is a parallelogram.

Mathematics
1 answer:
kow [346]4 years ago
3 0

Opposite sides of a parallelogram are equal lengths, so ...

... AB = CD

... 6x +30 = 2y -10

and

... BC = AD

... 2x -5 = y -35

_____

The equations can be put in standard form to get

... 3x -y = -20

... 2x -y = -30

Subtracting the second from the first, we get

... x = 10

Solving for y, we have

... y = 2x+30 = 2·10 +30 = 50

The values of x and y are x=10, y=50.

_____

AB = 6x+30 = 90

BC = 2x-5 = 15

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damaskus [11]

Answer:

6a) 1

6b) 11

7a) 4

7b) 10

8a) 6

8b) 14

9a) 11

9b) 13

Step-by-step explanation:

In order to make a triangle, we need to follow this property:

a <= b + c

(Known as "triangle inequality")

Where 'a' is the bigger side and 'b' and 'c' are the other two sides.

So, using this property, we can solve the following problems:

6a) Maximum side will be 6:

6 <= 5 + c

c = 1

6b) Minimum sides will be 5 and 6:

a <= 5 + 6

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7a) Maximum side will be 7:

7 <= 3 + c

c = 4

7b) Minimum sides will be 3 and 7:

a <= 3 + 7

a = 10

8a) Maximum side will be 10:

10 <= 4 + c

c = 6

8b) Minimum sides will be 4 and 10:

a <= 4 + 10

a = 14

9a) Maximum side will be 12:

12 <= 1 + c

c = 11

9b) Minimum sides will be 1 and 12:

a <= 1 + 12

a = 13

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3 years ago
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VashaNatasha [74]

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6 0
3 years ago
Find the slope of the line through the points (2,6) (-1,-2)
NeTakaya
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5 0
4 years ago
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shtirl [24]

Answer:

D:[-5. -2,0,3,4,7}

Step-by-step explanation:

x 7,3,-2,4,-5,0

y -3,6,8,-2,0,-1

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7 0
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ohaa [14]

Answer:

A

Step-by-step explanation:

2.34 divided by 6 so then that gives you o.39

8 0
3 years ago
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