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oee [108]
3 years ago
13

Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus arrives every 21 minutes and a Ha

rris Road bus arrives every 15 minutes. If both buses arrive at the stop at​ 5:07 AM, when will they again arrive at the same​ time?
Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

Both buses will arrive at the stop at 6:52 AM

Step-by-step explanation:

Wilkenson Bus = Arrives every 21 minutes

Harris Road Bus = Arrives every 15 minutes

Let's find the Least Common Multiple (LCM) of 21 and 15. LCM is found, listing the prime factors of each numbers and then multiplying each factor the greatest number of times it occurs in either numbers:

LCM 21 = 3 × 7

LCM 15 = 3 × 5

LCM (21 , 15) = 3 × 7 × 5  = 105

In 105 minutes both buses will arrive at the same time again

105 minutes = 1 h 45 min

5:07 AM + 1h 45 min = 6:52 AM

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2 years ago
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

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5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

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