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3 years ago

CDEF is a parallelogram. Solve for x.

Mathematics

2 answers:

Lana71 [14]3 years ago

7 0

Answer:

x = 12

Step-by-step explanation:

24 = 3x - 12 (opposite sides of a parallelogram are equal)

24 + 12 = 3x

36 = 3x

36/3 = x

12 = x

Paul [167]3 years ago

7 0

Answer:

x=13

Step-by-step explanation:

The parallel sides on a parallelogram are equal, therefore you must find a number that would satisfy the requirement for equality in the sides' length

So lets get started by finding out what number would be 24 after 12 has been subtracted from it.

24+12=36

Now we need to find out how to get 36 from 3x

36/3=13

13.

x is 13.

Now lets check that our answer is right

13x3=36

so far so good.

36-12=24

That checks out.

24=24.

Make sure to rate this answer!

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4 years ago

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Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

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We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

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3 years ago

CDEF is a parallelogram. Solve for x. ​

CDEF is a parallelogram. Solve for x.