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.
Answer:
6 segments are required to connect each point to every other point.
Step-by-step explanation:
If four points are placed on a circle.Then as we know the segment is a line that join two points.
Now as we are given four points on the circle.
- so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
- Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
- similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
- and hence by the above three steps the fourth point is connected to all the points.
Hence, 6 segments are required to connect each point to every other point.
Answer:
should be a plane.
a plane is two dimensional and has intimate length and width. so it contains infinite lines.
Answer:
3/7 and 4/14
Step-by-step explanation:
a) 3/7 is not an equivalent of 6/21 because when you multiply the numerator and the denominator by 2 you get: 6/14
b) 4/14 is not an equivalent
Answer:
x = ± 13
Step-by-step explanation:
Given
x² = 169 ( take the square root of both sides )
x = ± 
= ± 13
Since 13 × 13 = 169 and - 13× - 13 = 169
