Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
66.6%
Step-by-step explanation:
Step one
given
A coat at a store is originally priced at $54.99
The store marks down the price down to $32.99
Required
the percent decrease
Step two:
the percent decrease= change in price/ old price*100
the percent decrease= 54.99-32.99/54.99*100
the percent decrease= 22/ 32.99*100
the percent decrease= 0.666*100
the percent decrease= 66.6%
Answer:
Step-by-step explanation:
The equation that will model this situation will be of the form
where 
is the time in hours john has traveled since the gas station, and 
is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at 
, 
; or
Thus we have
.
Now we need to figure out 
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have
Now we have the full equation:
Answer:
(8) 
and 
(9) 
and 
(10) 
and 
Step-by-step explanation:
Given [Missing from the question]
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
--- (1)
-- (2)
So, the equations are:
and
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
So, the equations are:
and
Solving (9): (2,0)
Let the equations be: x + y and x - y
So, the equations are:
and
