1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?

Least no of packs = 120

Step-by-step explanation:

Given that,

Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.

We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.

It means we need to find the LCM of 8,12,20

Prime factorisation of 8 = 2×2×2

Prime factorisation of 12 = 2×3×2

Prime factorisation of 20=2×5×2

LCM = 120

Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq