In the diagram of parallelogram ABCD, if DB = 5x + 2 and ED = 4x - 8, what is EB?

5x+2−(4x−8)

Distribute the Negative Sign:

=5x + 2 + −1(4x−8)

=5x + 2 + −1(4x) + (−1)(−8)

=5x + 2 + −4x + 8

Combine Like Terms:

=5x + 2 + −4x + 8

=(5x + −4x) + (2+8)

=x + 10

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !