a is the answer as the only change is the gradient being halved,
b would be if it was -1/2 and c would be1/2 x+1/2
So.. .at the beginning of the sale, there was a total of "x" pies
now, let's see what happened to those pies
so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover
if we subtract all those figures, and solve for "x",
we should get what "x" was, so
notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)
so.. just solve for "x"
The answer you will be needing is X+5=y
Let x represent the smaller angle.
Let y represent the larger angle.
The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.
Also, they a supplementary, meaning that they add up to 180. We can create another equation.
Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.
Substitute
into
After substituting, you get
Now, combine the x's
Subtract both sides by 5
Divide both sides by 5.
Now, we can solve for y using the equation
since we know the value of x.
Subtract both sides by 35.
The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)