Question

What can you conclude from the given information

$\frac{2}{5}=\frac{y}{k}$and$\frac{2}{z}=\frac{5}{k}$

Short answer

This conclude that,the value of$yandz$are equal.

Step-by-step solution

Step 1. Given information.

The given proportions are,

$\frac{2}{5}=\frac{y}{k}and\frac{2}{z}=\frac{5}{k}$

Step 2. For the proportion 2z=5k we can also write as.

It is given$\frac{2}{5}=\frac{y}{k}and\frac{2}{z}=\frac{5}{k}$,

So,

$\frac{2}{z}=\frac{5}{k}\Rightarrow \frac{2}{5}=\frac{z}{k}$

Step 3. Now, comparing.

$\frac{2}{5}=\frac{y}{k}$and$\frac{2}{5}=\frac{z}{k}$

$\frac{y}{k}=\frac{z}{k}$

This conclude that, the value of$yandz$ are equal.