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3 years ago

If m is a positive integer, what is the least value of m for which 180 is a factor of 105m

Mathematics

2 answers:

Hoochie [10]3 years ago

8 0

Answer:

Step-by-step explanation:

If 180 is the factor of 105 m, then the factors of 180 should also be the factors of 105 m.

Factors of 180 = 15 * 12

Factors of 105 m = 15 * 7 * m

The least value of m is = 12

givi [52]3 years ago

8 0

The answer is 12 as
15*12 is 108
So m=12

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There are 13 angles.
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3.

$m\angle12+m\angle13=180\qquad\qquad\text{linear angles}\\\\105+m\angle13=180\\\\m\angle13=180-105\\\\\boxed{m\angle 13=75}$

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4.

$m\angle1+m\angle2+m\angle13=180\qquad\qquad\text{triangle}\\\\m\angle1+34+75=180\\\\m\angle1+109=180\\\\m\angle1=180-109\\\\\boxed{m\angle1=71}$

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7. $a||b\text{ and } c||d$ so we have a parallelogram.

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3 years ago

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