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AveGali [126]
3 years ago
15

May rides her bike the same distance that Leah walks. May rides her bike 10 mp/h faster than Leah walks. If it takes May 1 hr. a

nd Leah 3 hrs. to travel the same distance, what is the speed for each girls?
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Step-by-step explanation:

May rides her bike 30 mph. and takes Leah 3 mph.

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Given:

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To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

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m\angle M=56^\circ

And,

m\angle N=m\angle L

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Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

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