FInding the length of EB

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

EB=3.3

Step-by-step explanation:

From the diagram, triangle ABC is similar to triangle DBE.

This means that, the corresponding sides are proportional.

It was given that AC=6, DE=4, CB=5.

We want to find EB=x

Since the ratio of corresponding sides are proportional, we have:

$\frac{EB}{CB} =\frac{ED}{AC}$

We substitute to obtain:

$\frac{x}{5} =\frac{4}{6}$

Multiply both sides by 5 to get:

$x=\frac{4}{6}\times 5=\frac{20}{6}=\frac{10}{3}=3.3$

You might be interested in

Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to put the chicken in between three people how much chick

AURORKA [14]

Answer:

Each person will get $\frac{7}{30}$ or approximately 0.23 pounds of chicken.

Step-by-step explanation:

This is a word problem involving fractions. Using key words and phrases from the problem, we can decide which operation we need to use to solve. Since Jamie is splitting the chicken equally between three people, she would need to divide the amount of chicken she has by 3:

$\frac{7}{10}$ ÷ $\frac{3}{1}$

Since we can't divide fractions, we need to use the 'keep-change-flip' rule to keep the first fraction, change the operation to multiplication and flip the second fraction:

$\frac{7}{10}*\frac{1}{3}=\frac{7}{30}$