Answer:
B
Step-by-step explanation:
∠ABC= 180° -142° (adj. ∠s on a str. line)
∠ABC= 38°
∠BAC= 180° -133° (adj. ∠s on a str. line)
∠BAC= 47°
∠ACB= 180° -38° -47° (∠ sum of △)
∠ACB= 95°
n°= 180° -95° (adj. ∠s on a str. line)
n°= 85°
n= 85
Answer:
The solution set for the inequality is the interval (-4, 5)
Step-by-step explanation:
-8 < 8 + 4x < 28
Subtracting 8:
-8 -8 < 8 + 4x - 8 < 28 - 8
-16 < 4x < 20
Dividing by 4:
-16/4 < 4x/4 < 20/4
-4 < x < 5
x ∈ (-4, 5)
Answer:
1. equal
2. add to 180
3. equal
4. add to 180
Step-by-step explanation:
as 1 and 3 are linear pairs
2 and 4 are vertically opposite angles
To construct the equations for these lines, we are going to use the point-slope formula, which is:

is the slope of the line
is a point on the line
1)
In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)
Thus, we can "plug in" what we know into our formula to find the equation of our line:



2)
We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.


Our equations are:
1) y = 5x - 11
2) y = 9x - 5