If NTM is congruent to OUM, SP is congruent to SQ, S is the center of the circle, and OM = 18, find NT. Round the answer to the hundredths place.

Question

Mathematics

Denisse

14 March, 01:02

If NTM is congruent to OUM, SP is congruent to SQ, S is the center of the circle, and OM = 18, find NT. Round the answer to the hundredths place.

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Answers (1)

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Frank Logan · Answer 1

OM=18, so OQ=QM=18/2=9.

Given QU=8

from figure OQU is a right angled triangle, so OU^2=OQ^2 + QU^2

OU^2 = 9*9 + 8*8 = 81+72=153;

OU=sqrt (153) = 12.37 = 13 (approx);

From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13