It can be -2254/10
or -225 4/10
Answer it is 65
Step-by-step explanation:
Answer:
y=6x-27
Step-by-step explanation:
To find the slope of a line given 2 points; use this equation.
(5,3) (4,-3)
slope = 6
as for y-intercept use this method in the attachment
below
Answer:
Linear Pair
Step-by-step explanation:
The kind of angle formed by a and b when put together is a straight angle.
A straight angle means that a+b=180 degrees.
a and b are supplementary.
They are also a linear pair since they are already put together. Meaning, they share a common vertex and a common side while forming a straight angle together.
They aren't complementary because the angles exceed 90 degrees when added together. Complementary angles should add up to 90 degrees exactly.
They aren't vertical angles because they don't happen across from each other in two intersecting lines. (Note: Vertical angles are also congruent.)
They aren't alternate interior because they don't even happen at two different intersections. So we would definitely not go to to that, alternate exterior, same side interior, same exterior, or corresponding angles. Because all of these require the angles to happen at two different intersections.
a)
FH = 102, FG = 5x + 9. HG = 9x - 5 <em>Given</em>
FG + HG = FH <em>Segment addition postulate</em>
5x + 9 + 9x - 5 = 102 <em>Substitution</em>
14x + 4 = 102 <em>Simplify (added like terms)</em>
14x = 98 <em>Subtraction property of equality</em>
x = 7 <em>Division property of equality</em>
b) FG = 5x + 9 = 5(7) + 9 = 35 + 9 = 44
c) HG = 9x - 5 = 9(7) - 5 = 63 - 5 = 58
Answers: a = 7, b = 44, c = 58
