Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is
The slope of line AB is 
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD =
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line CD is , it means the line must be of the form
Coefficient of x is only in option a.
Therefore, the correct option is a.
Sydney is 44 years old.
50-6=44
Hope i helped.
Mark as brainliest
Answer:
B. m<B = 65°; m<C = 115°
Step-by-step explanation:
First find the value of x:
3n + 20 = 6n - 25 (opposite bangles if a parallelogram are equal)
Collect like terms
3n - 6n = -20 - 25
-3n = -45
Divide both sides by -3
n = 15
✔️Find angle B:
m<B = 3n + 20
Plug in the value of n
m<B = 3(15) + 20
m<B = 45 + 20
m<B = 65°
✔️Find angle C:
m<C = 180 - m<B (consecutive angles of a parallelogram are supplementary)
m<C = 180 - 65
m<C = 115°
Step-by-step explanation:
I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15
.......hope it helps!
