Answer:

Step-by-step explanation:
1) The Point-slope form equation is given in this form:

2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)
3) Before using the Point-slope form We have to find out the slope:

4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":

Then, the answer is:

Answer:
C
Step-by-step explanation:
Calculate the values of both r and s, that is
= 7 ( multiply both sides by 2 )
5 + r = 14 ( subtract 5 from both sides )
r = 9
and
= 3 ( multiply both sides by 2 )
3 + s = 6 ( subtract 3 from both sides )
s = 3
Hence
=
= 6 → C
Answer:
D
Step-by-step explanation:
So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>
Recall that:

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

Solve for <em>θ. </em>Use a calculator:

The answer is D.
Answer:
58 degrees
Step-by-step explanation:
The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.
Answer:
n = 13
Step-by-step explanation:
1/5(n + 3) + 4 = 3/10(2n - 2)
~Simplify both sides
1/5n + 3/5 + 4 = 3/5n - 3/5
~Combine like terms
1/5n + 23/5 = 3/5n - 3/5
~Subtract 23/5 to both sides
1/5n = 3/5n - 26/5
~Multiply 5 to both sides
n = 3n - 26
~Subtract 3n to both sides
-2n = -26
~Divide -2 to both sides
n = 13
Best of Luck!