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tekilochka [14]
3 years ago
12

ABCD is a parallelogram. If AB= 3x -7 and CD = 5x - 19, find x.

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

3x-7=5x-19

12=2x

x=6

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Answer:

Step-by-step explanation:

Given: ∠N≅∠S, line l bisects TR at Q.

To prove: ΔNQT≅ΔSQR

Proof:

From  ΔNQT and ΔSQR

It is given that:

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∠NQT≅∠SQR(Vertical opposite angles)

and TQ≅QR ( Definition of segment bisector)

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Statement                                                 Reason

1. ∠N≅∠S                                                    given

2. ∠NQT≅∠SQR                            Vertical angles are congruent

3.  line l bisects TR at Q.                            given

4. TQ≅QR                                      Definition of segment bisector

5. ΔNQT≅ΔSQR                           AAS theorem

Hence proved.

Thus, option D is correct.

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