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2 years ago

The quadrilateral ABCD is a parallelogram. The value of a is?

Mathematics

1 answer:

Nataly_w [17]2 years ago

6 0

Step-by-step explanation:

in a parallelogram, opposite angles are equal..

so C is 4a + 22. and B is 6a - 12.

sum of interior angles in a quadrilateral = 360

4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360

20a + 20 = 360

20a = 340

a = 17

sum of angles on a straight line = 180

B + x = 180

6 ( 17) - 12 + x = 180

102 + × = 180

× = 180 - 102

× = 78

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Afina-wow [57]

Answer: 6.3

Step-by-step explanation:

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2 years ago

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padilas [110]

There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

$x-2y=2\\x-2y+2y=2+2y\\x=2+2y$

Great, now we can use the substitution method to find the value of y using the first equation:

$2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1$

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$x=2+2y\\x=2+2(1)\\x=4$

And the answer is $x=4 , y= 1\\(4,1)$

Double check:

$2x+3y=11\\2(4)+3(1)=11\\8+3=11\\11=11\\\\x-2y=2\\(4)-2(1)=2\\2=2$

And that's our final answer! (4,1)

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3 years ago

A bench is 35 inches long and 19 inches wide. how many square inches does it cover?

vfiekz [6]

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3 years ago

10 - 7w - 13 - 7w + 15

Debora [2.8K]

Answer:

-14w+12

Step-by-step explanation:

10 - 7w - 13 - 7w + 15

Combine like terms

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2 years ago

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anygoal [31]

Step-by-step explanation:

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3 years ago

Read 2 more answers