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Firdavs [7]
3 years ago
8

For what values of x and y must the figure have in order to be parallelogram?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

y = 10°

x = 64°

Step-by-step explanation:

Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.

For the figure to be a parallelograms, since opposite angle are equal

12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

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Step-by-step explanation:

23 x 305 = 7015

7015 square feet

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Value of x in 2x-7=35 is​
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Step-by-step explanation:

2x - 7 = 35

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The answer is 21, hope this helps.

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Show how to solve the problem 378×6 using place value with regrouping. Explain how you knew when to regroup
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<span>1. 6 (378) = 2268 = (189 + 189)6


Properties are:
Addition, you can have 6 + 107 = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
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<span>Commutative Property by moving: 107 x 6 = 642 </span>
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Which of the following represent independent events? Spinning a 3 on a spinner and then spinning again and getting a 2. Getting
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Step-by-step explanation:

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Select all the expressions that are equivalent to -36x+54y−90.
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Answer:

b) -18(2x -3y + 5)

d) 18(-2x + 3y - 5)

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Step-by-step explanation:

a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal

b) -18(2x - 3y + 5) = -36x + 54y - 90 equal

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d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal

e) -2(18x - 27y + 45) = -36x + 54y - 90 equal

f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal

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3 years ago
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