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bogdanovich [222]
3 years ago
15

Please help me find X and Y! Thank you :)

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

The value of x is -29 and the value of y is -26

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding angles and its corresponding sides are congruent

so

The length of the corresponding sides must be equal

-2x+2y=6 ----> equation A

-7x+8y=-5 ----> equation B

Note

The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.

Solve the system by graphing

Remember that

the solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (-29,-26)

see the attached figure

therefore

The value of x is -29 and the value of y is -26

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hope this helps!

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If quadrilateral PQRS is a rectangle, then which of the following is true?
brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A.  ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴  m∠PSQ ≠ m∠QSR

∴  ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

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∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

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