What is the length of ef in the right triangle below? answers are in the picture !

The length of EF in the given right triangle is:

                   Option: B   24

We are given a right triangle EFD with base DF=a=7 units.

Height EF=b

and Hypotenuse of the triangle ED=c=25 UNITS.

We know that in a right angled triangle we can apply Pythagorean Theorem.

According to Pythagorean Theorem we have:

on taking square root on both side we get:

But as side of a triangle can't be negative.

Hence,  b= 24 units.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

35%

step-by-step explanation: