2x + 18 and 4x - 14 are corresponding angles...they are equal
2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16
so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50
and 4x - 14 and y are supplementary angles that add up to 180 degrees
so 50 + y = 180.....y = 180 - 50....y = 130 <==
Answer:

Hence, option B) is true.
Step-by-step explanation:
Given
g(x) = 2x-5
h(x) = x² - 2
To determine

In order to determine g(h(-8)), first we need to determine h(-8), so
substituting x = -8 in h(x) = x² - 2
h(x) = x² - 2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so we can write

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v
g(x) = 2x-5
g(62) = 2(62) - 5
g(62) = 124 - 5
g(62) = 119
so,

Therefore,

Hence, option B) is true.
Answer:
The answer in the attached figure
Step-by-step explanation:
we have

This is a linear equation
The slope is equal to 
The y-intercept is equal to the point
----> value of the function f(x) when the value of x is equal to zero
The x-intercept is equal to the point
----> value of x when the value of the function is equal to zero
using a graphing tool
see the attached figure
Answer:
(0,-3)
Step-by-step explanation:
hi, with this we can just do substitution (substitute x for y+3)
6(y+3)-5y=15
evaluate
6y+18-5y=15
y+18=15
y=-3
then we plug that in
x=-3+3
x=0
Answer:
The rule for the linear function will be:

Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope




Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)



adding 3 to both sides


or

Therefore, the rule for the linear function will be:
