An envelope measures 5 inches by 12 inches. A pencil is placed in the envelope at a diagonal. What is the maximum possible lenght of the pencil?

the maximum possible length of the pencil is 13 inches

Step-by-step explanation:

Here we have , An envelope measures 5 inches by 12 inches. A pencil is placed in the envelope at a diagonal. We need to find What is the maximum possible length of the pencil . Let's find out:

We know that maximum length which can be fitted in envelope will be the length of diagonal of envelope . So

By Pythagoras theorem

⇒

⇒

⇒

⇒

⇒

⇒

Therefore,  the maximum possible length of the pencil is 13 inches .

rx and sx

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get