Liz has two pieces of string; one 18cm long, the other 24cm long. She wants to cut them up to make pieces of string that are all the same length with no string left over. What is the
greatest length she can make the pieces of string?

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer:

c) the x-coordinate of the center of the circle increases by 3