Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
and both have a common denominator, so you can combine them into a single fraction:
You cannot simplify this fraction further:
- - - - - - - - - - - - - - - - - - - -
Answer:
- - - - - - - - - - - - - - - - - - - - -
Answer:
Missing co-ordinate for the ordered pair is
Y-intercept is
X-intercept is
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation
where is the number of stores and represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution
For the ordered pair, we are given the value which is =7 i.e 7 years after 1990. Thus we will plugin in the linear equation to get the value which is number of stores after 7 years from 1990.
Thus the ordered pair is
To find y-intercept which is the point where the line touches the y-axis, we would plugin in the equation as the x-coordinate is 0 at y-axis.
Thus y-intercept is at point
To find x-intercept which is the point where the line touches the x-axis, we would plugin in the equation as the y-coordinate is 0 at x-axis and thus for
Subtracting both sides by 4682.
Dividing both sides by -264
∴
Thus x-intercept is at point
Answer:
n = 18
Step-by-step explanation:
The formula for angle sum of a polygon is S = 180 (n - 2), where S is the sum and n is the sides.
We are given that the sum is 2880, and are trying to find n.
Simply sub in S = 2880,
2880 = 180 (n - 2)
Divide by 180 to get (n - 2) by themselves on the right side,
16 = n - 2
Now add 2 to the other side to get n by itself
18 = n
n = 18
Hope this helped!! Please feel free to ask me if there's anything you don't understand from this working
Answer:
<u>75 ft²</u>
Step-by-step explanation:
Surface Area :
- Area (4 triangles) + Area (base)
- 4 x 1/2 x 5 x 5 + 5 x 5
- 50 + 25
- <u>75 ft²</u>