The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
Solution:
1)
Statement Reason
x ║t Given
m∠16=m∠7 Given
m∠16=m∠1 Corresponding angles
m∠7=m∠1 Substitution
k║w Alternate exterior angles equal
(Property of parallel lines)
2)Part A:
Sum of angles in any triangle is 180 degrees.
m∠BAC+m∠ABC+m∠BCA= 180
Substituting the values :
4x+10+12x-6+3x+5=180
Adding like terms :
19x+9=180
19x=171
x=9.
Part B:
Substituting x value :
m∠BAC=4x+10=4(9)+10=46
m∠ABC=12x-6=12(9)-6=102
m∠BCA=3x+5=3(9)+5=32.
Part C:
m∠1=180-46=134
m∠2=180-102=78.
m∠3=180-32=148.
Part D:
Angle BAC and angle FAC are angle made on straight line and are linear .Such angles are called linear pairs.
Part E:
Angle BCE and Angle DCA are vertically opposite angles.
.
Answer:
the 3rd one
Step-by-step explanation:
The constant of proportionality is y=5x. It will cost $30 for 6 packages to be shipped.
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