Given: E is the midpoint of DF.
Prove: DE = 23

DE=23

Step-by-step explanation:

Since E is the midpoint of DF, we know that DE and EF are equal. Thus, we can set them equal to eachother and solve.

8x-1=6x+5

2x=6

x=3

After that, plug 3 back into DE.

6(3)+5= DE

18+5= DE

23=DE

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

15: 24

62.5%

step-by-step explanation: