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.
Answer:
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx + c, where m is the slope and c is the y-intercept of the line.
Now, we know that if two straight lines are perpendicular to each other then the product of their slopes will be -1.
So, the equation of a straight line which is perpendicular to the line 
will be 
....... (1), where c' is constant.
Given that the line (1) passes through (2,4) point.
Hence, 
⇒ c' = 1.
Therefore, the final equation of the required straight line is . (Answer)
Answer:
40
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2l + 2w. Since the length is 8 times the width, l = 8w. You can plug this into the equation.
<em>P = 2(8w) + 2w</em>
<em>P = 16w + 2w</em>
P = 18w
Now, plug in the given value for perimeter, and solve for w.
<em>90 = 18w</em>
<em>(90)/18 = (18w)/18</em>
5 = w
Since the width is equal to 5, you can now solve for l.
<em>l = 8w</em>
<em>l = 8(5)</em>
l = 40
The length of the diagonal is equal to 40.
Answer:
B: x=-5 and x=4
Step-by-step explanation:
f(x)= x^2 + x -20
To find the zeros we replace f(x) with 0
now we solve for x
LEts factor x^2 + x -20
sum is +1 and product is -20
5 * (-4)= -20
5 + (-4) = +1
x^2 + 5x - 4x - 20 = 0
(x^2 + 5x)+(- 4x - 20) = 0
x(x+5) -4 (x+5) = 0
(x-4)(x+5)=0
Set each factor =0 and solve for x
x- 4 =0 so x=4
x+5 =0 so x=-5
x=-5 and x=4
Answer:
9,000
Step-by-step explanation:
the answer is 9,000 because 8 is higher then 5 and as u should know if the number is 5 below u dont round it.
