Cameron started with 20 pieces of gum and gave away x number of pieces. Connor started with 35 pieces of gum and gave away twice as many as Cameron did. How many pieces of gum did Cameron give away if they had the same number of pieces left? A - 5 B - 15 C - 18 D - 8

x = 15

Step-by-step explanation:

Cameron started with 20 pieces of gum and gave away x number of pieces.

Cameron = 20 - x

Connor started with 35 pieces of gum and gave away twice as many as Cameron did.

Connor = 35 - 2x

Equate both Cameron and Connor expression

20 - x = 35 - 2x

Collect like terms

20 - 35 = -2x + x

-15 = -x

Divide both sides by -1

15 = x

x = 15

Check:

Cameron = 20 - x

= 20 - 15

= 5

Connor = 35 - 2x

= 35 - 2(15)

= 35 - 30

= 5

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c