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3rd!

Step-by-step explanation:

x=2/5

Step-by-step explanation:

3x+5= -2x+7

5x=2

x=2/5

No; the slopes of segment EF and segment DF are not opposite reciprocals.

Step-by-step explanation:

we have that

The coordinates of triangle DEF are

D (−2, −1), E (−2, 2), and F (0, 0)

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

step 1

Find the slope EF

we have

E (−2, 2), F (0, 0)

substitute in the formula

step 2

Find the slope DF

we have

D(−2, −1), F (0, 0)

substitute in the formula

step 3

Find the slope DE

we have

D (−2, −1), E (−2, 2)

substitute in the formula

 > is undefined (is a vertical line)

step 4

Compare the slopes

The slopes of segment EF and segment DF are not opposite reciprocal, triangle DEF is not a right triangle