Answer:
E
Step-by-step explanation:
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y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
Angle 2: 110 degrees, 1 and 2 would have to be the same for the lines to be parallel
Angle 3: 70 degrees angle 3 would have to be the complement to angle 1, so 1+3=180 and 70*3=180, so 3=70 degrees
Angle 4: 70 degrees, 3 and 4 have to be the same opposite angles for the lines to be parallel
Answer:
x = -2
Step-by-step explanation:
please mark brainliest
n + (n + 2) + (n + 4) = 177
In order to find consecutive odd numbers, you simply need to add 2 to the unknown.
For example, if I had the number 1 and wanted to find the next odd number, I could add 2, and that would make the number 3.
Combine all of the numbers on the left side:
3n + 6 = 177
Subtract 6 from both sides:
3n = 171
Divide both sides by 3:
n = 57
The first odd number is 57.
