Ben is 5 years older than Violet. After eight years, Ben's age will be 1.2 times of Violet's age at that time. How old will Violet be 10 years from now?

In 10 years from now Violet's age will be 27 years old

Step-by-step explanation:

Let

x ----> Ben's age

y ---> Violet's age

we know that

Ben is 5 years older than Violet

so

----> equation A

After eight years, Ben's age will be 1.2 times of Violet's age at that time.

so

----> equation B

substitute equation A in equation B

solve for y

Find the value of x

therefore

Ben's age is 22 years now

Violet's age is 17 years now

How old will Violet be 10 years from now?

Adds 10 years to Violet's age now

so

can i get the link to the assignment?

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.