10 is a factor and 40 is a multiple of 20 . similarly, 8 is a factor and 96 is a multiple of another number . which of these could be the number ?

96

Step-by-step explanation:

Given that:

Number 20 has a factor 10.

Factor means when we multiply it with a number we will get 20.

i.e. when we multiply 20 with 2, we will get 40.

and multiple of 20 is 40

Multiple means, when we multiply 20 with a particular number we will get 40 i.e. when we multiply 20 with 2, we are going to get 40.

To find:

Another number such that 8 is a factor and 96 is a multiple.

Solution:

If we take 4, it can not be the answer because its factor is 2, not 8.

If we take 40, it can not be the answer because its factors are 2, 4, 5, 8, 10 but at the same time 96 is not a multiple of 40.

Let consider 32 now.

32 =  8 4, so 8 is a factor.

Multiples of 32 are 64 and 96.

Therefore, the answer is 96.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl