Answer:
x = 67°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for x , that is
x = 180° - (38 + 75)° = 180° - 113° = 67°
1) Vertical angles theorem
- Angles EOF and BOC are vertical angles.
2) Angle addition postulate
- Angles AOB and BOC add to form angle AOC.
3) Linear pair
- Angles that add to form a straight angl are a linear pair
4) Subtraction property of equality
- They subtracted angle AOC from both sides.
9514 1404 393
Answer:
see below
Step-by-step explanation:
The area of a square is the square of the side length, as shown in the given table.
The area of a circle is pi (π) times the square of the radius. For a radius that is the same as the side length of a square, the circle will have an area π times as large.
For an input of 3, the square area function outputs 9.
For an input of 3, the circle area function outputs 9π, about 28.3.
We simply replace a with -9
k(-9) = 4 * -9 - 4
k(-9) = -40
:)
Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
Given
Using the point-slope form

where
- m is the slope of the line
In our case:
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form



Subtract 3 from both sides



comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line

at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.