I’m not sure on the answer choices but this is what I got when I did synthetic division.

The given angles are forming alternate interior pair, so :
hence, value of x = 8°
Answer:
See explanation
Step-by-step explanation:
If
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

and

Angles 1 and 3 are supplementary, so

Angles 2 and 4 are supplementary, so

By substitution property,

Hence,

Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so
by ASA postulate.
Congruent triangles have congruent corresponding sides, then

Therefore, triangle APB is isosceles triangle (by definition).
Answer:
a. yes
b. no
c. no
d. no
e. yes
Step-by-step explanation:
Here, we want to answer yes or no for each of the numbers
a) Yes
If we compare with the general form
y = mx + b
m
is slope and b is y-intercept
so, 2 is slope and 3 is y intercept; so 3 in y-intercept is (0,3)
b. No
This is the point-slope form we are trying to
get
Evaluating this, we have that
y-3 = 2x - 6
y = 2x-6 + 3
y = 2x-3
c) NO
Just insert the values and check here
-1 = 2(5) + 3
it does not work
d) No
Substitute
-4 = 2(-5) + 3
e) Yes
This is the point-slope form
y + 3 = 2x + 6
y = 2x + 6-3 = 2x + 3