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Mathematics 15 Online
Shaypop:

AB = 2x+20 AD = 3x+23 BC = 3-x CD=4x+30 Quadrilateral ABCD is a parallelogram if one pair of opposite is both equal and parallel. Prove that quadrilateral ABCD is a parallelogram by finding the value of x.

offbeatsoldier333334:

@snowflake0531

snowflake0531:

May I have a screenshot please?

Serenity1jacksonsl9:

same i need a screen shot

Shaypop:

Serenity1jacksonsl9:

ok thx

Shaypop:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Serenity1jacksonsl9 ok thx \(\color{#0cbb34}{\text{End of Quote}}\) You welc

snowflake0531:

So, first you need to find the value of x. Then you'll need to plug x in to show that the parallel sides are equal

snowflake0531:

AD=BC AB=DC

snowflake0531:

We can just use the upper one, so 3x+23 = 3-x Can you solve for x?

Shaypop:

Yes I can

snowflake0531:

What does x equal

Shaypop:

-5

Serenity1jacksonsl9:

it would be -5. you will get the answer by making the opposite sides equal. ab=cd and bc=ad 😁 yw

Shaypop:

Thanks

snowflake0531:

So, now that you got x, you have to plug that into the 4 expressions, to show that there are 2 pairs of equal lengths

Serenity1jacksonsl9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Shaypop Thanks \(\color{#0cbb34}{\text{End of Quote}}\) sorry if i was too slow

Shaypop:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Serenity1jacksonsl9 \(\color{#0cbb34}{\text{Originally Posted by}}\) @Shaypop Thanks \(\color{#0cbb34}{\text{End of Quote}}\) sorry if i was too slow \(\color{#0cbb34}{\text{End of Quote}}\) Ur not

Shaypop:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 So, now that you got x, you have to plug that into the 4 expressions, to show that there are 2 pairs of equal lengths \(\color{#0cbb34}{\text{End of Quote}}\) Ok

Shaypop:

Yes

Shaypop:

I got 10,10, 8,8

snowflake0531:

Yes! So write how you got those, and that is your proof.

Shaypop:

I plug it in.

Serenity1jacksonsl9:

ihm corrext

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