They are adjacent and complementary.
Next to each other and add up to 90 degrees.
Answer:



Step-by-step explanation:
Given
Billy's Marble = x
Required
Determine a,b and c
a. Charlie's Marble
"5 more" means 5 + or + 5
Since Billy's Marble is represented with x, then Charlie's Marbles will be

b. Danny's Marbles
Having "8 fewer" means we have to subtract 8 from Billy's marble;
Since Billy's Marble is represented with x, then Danny's Marbles will be

c. Eric Marbles
Having "three times as " means we have to multiply Bill's marble by 3;
Since Billy's Marble is represented with x, then Danny's Marbles will be


X+y=6 is.....
solve for x=0... y=6
solve for y=0... x=6
intersect x-axis at (6,0)... calculate the slop: solve for x=1... 1+y=6... 6-1= 5 y=5
calculate the slope: a= y(x=1)-y(x=0)/1=-1
x+y=6
Answer: 36 years
Step-by-step explanation:
Exponential equation to represent growth:-
, where A is the initial value , r is the rate of growth and t is the time period.
Given : A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500.
i.e. Put A= 500 and r= 0.052 in the above formula.
The amount after t years:

Inequality for value cross $3,000 mark:

Divide both sides by 500

Taking log on both sides , we get

Hence, it will take approx 36 years to cross the $3,000 mark.