4/5 x (v−7) = 2 what is the value of v

4/5x(v-7)=2

multiply both sides by 5/4, the reciprocal of 4/5

v-7=2x(5/4)

Express 2x(5/4) as a single fraction

v-7=2x5

4

Multiply 2 and 5

v-7=10

4

Reduce the fraction 10/4 to the lowest by extracting and cancelling 2

v-7=5

2

Add 7 to both sides

v=5+7

2

Covert fraction to 14/2

v=5/2+14/2

Since 5/2 and 14/2 have the same denominator, add them by adding their numerators

v=5+14

2

Add 5 and 14 together

v=19

2

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.