Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117
Answer:
I think 80
Step-by-step explanation:
100/15=6.66666667
12x6.67=80.4
Answer:
B. 2520 degrees.
Step-by-step explanation:
Sum of interior angles = 180(n - 2)
= 180(16-2)
= 2520 degrees.
Answer:
- 0.5
- 8
- 6
Step-by-step explanation:
<u>Use slope formula:</u>
1. Points (0, 5) and (1, 5.5)
- m = (5.5 - 5)(1 - 0) = 0.5/1 = 0.5
2. Points (3, 22) and (8, 62)
- m = (62 - 22)/(8 - 3) = 40/5 = 8
3. Points (0, 80) and (5, 50)
- m = (50 - 80)/(5 - 0) = 30/5 = 6
