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I am Lyosha [343]
3 years ago
7

Turner is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool,

he will complete a 150-meter warmup and then swim laps in a lane that is 30 meters long. If Turner swims at the indoor pool at his gym, he will complete a 250-meter warmup, plus a main set that consists of 20 meters per lap. If Turner swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take?
a
13 LAPS
b
10 LAPS
c
34 LAPS
d
9 LAPS
Mathematics
1 answer:
elixir [45]3 years ago
5 0
B. 10 Laps

150 + (10 x 30) = 450 M
250 + (10 x 20) = 450 M
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Answer:

Part 1) MN=31\ units

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Part 3) m∠K=61°

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Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

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MN=31\ units

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

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LM=45\ units

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KN=45\ units

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

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m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

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m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

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m∠M=61°

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