Three positive integers a, b and c have, in pairs, highest common factors (a, b) = 24, (b, c) = 198 and (a, c) = 210. (a) What is the highest common factor of a, b and c? (b) Find the smallest values of a, b and c which satisfy the given criteria.

HCF(a,b,c)=6

Smallest values of a, b and c are 840, 792 and 6930 respectively.

Step-by-step explanation:

It is given that,

HCF(a,b)=24, HCF(b,c)=198 and HCF(a,c)=210.

If means 24 and 210 are the factors of a.

If means 24 and 198 are the factors of b.

If means 198 and 210 are the factors of c.

Therefore, the smallest values of a, b and c which satisfy the given criteria are 840, 792 and 6930 respectively.

Now,

Therefore, HCF of a, b and c is 6.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

the answer is a

step-by-step explanation:

because if you put 1 in to the square root of x it equals 300.