Which value of x would make Line segment F G is parallel to line segment B C?

x = 9

Step-by-step explanation:

Consider the below figure attached with his question.

In the below figure .

According to Basic Proportionality Theorem (BPT), if a line is parallel to one side of a triangle, then it divides the two remaining sides in the same ratio.

Using BPT theorem,

On cross multiplication we get

Hence, FG║BC if the value of x is 9.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

c

c

c

c

c

c

c

cc

c

step-by-step explanation: