Answer:
We conclude that the rule for the table in terms of x and y is:
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
Finding the slope between (-2, -4) and (-1, -1)
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
Answer:
a.Corresponding angles
b.Alternate exterior angles
c.Consecutive interior angles
Step-by-step explanation:
a.
are corresponding angles.
- Two angles on the same side of the transversal either below or above of the two lines are corresponding angles.
b.
are alternate exterior angles.
- Pair of angles in which one arm of each of the angles lies on opposite sides of the transversal.
c.
are consecutive interior angles.
Consecutive interior angles are also called co-interior angles.
- Angles which are lying on the same side of a transversal cutting across the the two lines which are parallel.
So the pair of 
are corresponding angles the pair of 
are alternate exterior angles,the pair of 
are consecutive interior angles.
Answer:
:)
Step-by-step explanation:
#11 is 78 degrees
#12 is 12.81
#13 is 75.4
They are right triangles so you can use the Pythagorean theorem.
A = sqrt(5^2+3^2)
A = sqrt(25+9)
A = sqrt(34) (exact answer)
As a decimal it would be: 5.8
B = 45 = sqrt( 20^2 + b^2)
B^2 = 45^2-20^2
B^2 = 2025-400
B^2 = 1625
B = sqrt(1625)
B = 5sqrt(65) exact answer
As a decimal : 40.3
