Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Answer:
y= 2x - 19/3
Step-by-step explanation:
6x-3y=19
3y=6x-19
y=2x- 19/3
slope: 2
y-intercept: -19/3
Answer:
6.75
Step-by-step explanation:
Find the mean of the set {2,5,5,6,8,8,9,11} .
There are 8 numbers in the set. Add them all, and then divide by 8 .
2 + 5 + 5 + 6 + 8 + 8 + 9 + 118=548=6.75
Answer: 55
Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.
Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.
Thus, we could label the points A, B, and C, and set up an algebraic expression.
Let A = 27, B = 98, and C = x.
A + B + C = 180°.
Substituting A, B, and C we get:
27 + 98 + x = 180°.
Adding, we get:
125 + x = 180°
Subtracting 125 by 180, we get:
x = 55°
Thus, the angle X is 55°.
We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.
