Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
Answer:

Step-by-step explanation:
we have the points
(0,-3),(2,0) and (4,3)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
we take
(0,-3),(2,0)
substitute the values in the formula
step 2
Find the equation of the line in slope intercept form

we have
-----> the point (0,-3) is the y-intercept
substitute

The graph in the attached figure
Hello from MrBillDoesMath!
Answer:
#1. Choice a, m = -3
#2 Choice b, 292+13m
Discussion:
#1:
(mx+8) (2x-4) = 2 m x^2 - 4 m x + 16 x - 32
= m(2x^2) + x( -4m+16) -32
If this expressions equals
= -6x^2 + 28x - 32
then 2m = -6 and -4m+16 = 28, which gives m = -3. That is Choice A.
#2
Choice b:
a(n) = 292 + 13n , n > = 1
a(1) = 292 + 13(1) = 305
a(2) = 292 + 13(2) = 292 + 26 = 318
a(3) = 292 + 13(3) = 292 + 39 = 331
a(4) = 292 + 4(13) = 292 + 52 = 344
The sequence a(n) values match those given in the Question.
Thank you,
MrB