Answer:
x = 11
BD = 10
Step-by-step explanation:
Solving for x
The opposite sides if a parallelogram are equal and parallel.
Hence,
2x - 5 = 17
Collecting like terms:
2x = 17 + 5
2x = 22
x = 11
If E is a midpoint, then BE equals to DE
Since BE = 5, then
BD = 2 * BE
BD = 10
Answer:
7/21 is equivalent to 5/15
Step-by-step explanation:
The slope of the lines passing through given points is
.
Step-by-step explanation:
Given,
The given two points are (6,6) and (-6,1).
To find the slope of the line passing through the points.
Formula
The slope of the line passing through (
) and (
) is 
Now,
Putting,
we get,
Slope =
=
= 
Hence,
The slope of the lines passing through given points is
.
Answer:

Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points (4, 6) and (6, 10). Substitute:

<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>

Q4:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

<em>use distributive property</em>
<em>add 6 to both sides</em>

Step-by-step explanation:
Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)
Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)