Translate each phrase into an algebraic expression.
the quotient of thirty and three times a number

30/3x

Step-by-step explanation:

Let

x > a number

we know that

The algebraic expression of the phrase" thirty" is equal to the number 30

The algebraic expression of the phrase"three times a number" is equal to multiply the number by 3 > 3x

therefore

"The quotient of thirty and three times a number" is equal to divide the number 30 by 3x

30/3x

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.