You mean their sum is 12?
A) x + y = 12
B) x -y = 4 then we add both equations:
2x = 16
x = 8
y = 4
We know that
<span>1 1/8 gallons----------> (1*8+1)/8-------> 9/8 gallons
</span><span>13 1/2 miles----------> (13*2+1)/2-------> 27/2 miles
if 9/8 gallons-------------------> 27/2 miles
1 gallons----------------------> X
X=(27/2)/(9/8)---------> 216/18--------> 12 miles
the answer is 12 miles</span>
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
The answer is A. 67 , hope this helps
