Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
|RZ|=0.5|SW| therefore 2|RZ|=|SW|.
5x - 20 = 2 · 30
5x - 20 = 60 |add 20 to both sides
5x = 80 |divide both sides by 5
x = 16
Answer:

Step-by-step explanation:
Slope intercept form of a line is given by:

Where
m is the slope and b is the y-intercept
Given slope is 
We can write:

Now to find b, we replace x with -3 and y with -4, given, so we have:

So, the equation is:

Now,
The standard form is given by:

So, we take x and y to left side and the constant to right side. Rearranging, we get:

The first answer choice is right.
Answer:
4,5,6
Step-by-step explanation:
*The sign of ≥ means that it must be greater or equal to 10 in this case
1). 3 isn't a possible solution due to 9 being less than 10
3+6_10
9_10
9<10
2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10
4+6_10
10_10
10=10
3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10
5+6_10
11_10
11>10
4).6 is a possible solution due to the sum of 6 and 6 being larger than 10
6+6_10
12_10
12>10
Hope this helped! (: