Question

R is between F and V.
FR = 9a + 2, RV = 34, FV = 14a - 4
What’s the answer ?

Answer 1

To find the variable 'a', we use the relationship FR + RV = FV, with FR = 9a + 2, RV = 34, and FV = 14a - 4. By equating FR + RV to FV and solving for 'a', we find that the value of 'a' is 7.2.

Step-by-step explanation:

The question requires solving for the variable 'a' in the context of line segments on a line. Given FR = 9a + 2, RV = 34, and FV = 14a - 4, you are expected to use the fact that FR + RV = FV because R is a point between F and V on a line segment.

First, write down the equation that represents this relationship:

FR + RV = FV

Substitute the given values:

9a + 2 + 34 = 14a - 4

Solving this equation for 'a' will give us the answer:

36 = 5a

a = 36 / 5

a = 7.2

Therefore, the value of 'a' is 7.2.