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Solnce55 [7]
3 years ago
7

Given ^MNO = ^PQR,

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

Part 1) PQ=10\ units

Part 2) PR=7\ units

Step-by-step explanation:

<u><em>The correct question is</em></u>

The triangles MNO and PQR are congruent. (MNO≅PQR)

Find the lengths of PQ and PR.

we know that

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

In this problem

MN and PQ are corresponding sides

MO and PR are corresponding sides

NO and QR are corresponding sides

therefore

MN≅PQ

MO≅PR

NO≅QR

step 1

Find the value  of y

we have

MN = 6 +2y\\ PQ = 3y + 4

equate the equations

3y + 4=6 +2y

solve for y

3y-2y=6-4

y=2

step 2

Find the length of PQ

PQ = 3y + 4

substitute the value of y

PQ = 3(2) + 4=10\ units

step 3

Find the value  of x

we have

MO = 2x + 1\\PR = 10 - x

equate the equations

2x+1=10-x

solve for x

2x+x=10-1

3x=9

x=3

step 4

Find the length of PR

PR = 10 - x

substitute the value of x

PR = 10-3=7\ units

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