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iVinArrow [24]
3 years ago
7

Given △MON≅△PQR with MO=20 , MN=32 and PR=3x−10. Find the value of x. show your work

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Answer:

x=14

Step-by-step explanation:

we know that

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

In this problem

△MON≅△PQR

so

corresponding sides

MO≅PQ

MN≅PR

ON≅QR

corresponding angles

∠M≅∠P

∠O≅∠Q

∠N≅∠R

therefore

MN=PR

substitute the given values

32=3x-10

solve for x

3x=32+10

3x=42

x=14

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