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Aleks [24]
3 years ago
5

Help..mark brainliest the first correct answer!

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

I think option D

if u want explanation feel free to ask

please give me brainliest

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Taya2010 [7]

Answer:

Part 1) PR=9\ units

Part 2) PQ=12\ units

Part 3) PS=15\ units

part 4) QR=15\ units

Part 5) RT=7.5\ units

Step-by-step explanation:

we know that

In a rectangle opposite sides are parallel and congruent

The measure of each interior angle is 90 degrees

The diagonals are congruent and bisect each other

step 1

Find the length of side PR

we know that

PR=QS ----> by opposite sides

we have

QS=9\ units

therefore

PR=9\ units

step 2

Find the length of side PQ

we know that

PQ=RS ----> by opposite sides

we have

RS=12\ units

therefore

PQ=12\ units

step 3

Find the length of diagonal PS

we know that

PS=2PT---> the diagonals bisect each other

we have

PT=7.5\ units ---> given problem

therefore

PS=2(7.5)=15\ units

step 4

Find the length of diagonal QR

we know that

QR=PS---> the diagonals are congruent

we have

PS=15\ units

therefore

QR=15\ units

step 5

Find the length of RT

we know that

QR=2RT---> the diagonals bisect each other

we have

QR=15\ units

substitute

15=2RT\\RT=7.5\ units

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