For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer:
They provide you with a graph that already has all the numbers and there is a data table. The data table lists all the numbers you have to plot onto the graph.
How to graph: The first number is 27, which is the vehicle weight in hundreds of lbs. On the graph, you can see that on the x-axis, it says weight (in hundreds of lbs). So first, look at the x-axis numbers and find somewhere between 25 and 30 and try to estimate where 27 would be.
Now look at the city MPG value that corresponds to 27, the weight value. It is 25. That's perfect because it is exactly the intervals the graph is in. So find 25 on the y-axis since the y-axis represents the city MPG. Now draw a straight line from the 25 on the y axis to the right. Then, draw a line from the 27 on the x axis straight up and where the two meet is the first point. Obviously, you don't need to make it that complicated if you don't need all the extra steps to understand but it is just in case you don't know how to graph the points.
Repeat for the rest of the points (make sure you use the correct corresponding points). Good luck on your test!
Step-by-step explanation:
Answer:
The entire Question:
Vince has a movie rental gift card that start with $50 on it. Each movie he rents costs him $4.
Write a linear function that models how many dollars ,d, Vince has left on his card based on the number of movies ,m, he has rented
What is the slope of your above equation ?
What is the y -intercept of the equation.
How would you intercept the statement d(11)=6
Step-by-step explanation:
Answer:
Slope: -4
Y-intercept: 50
I can't figure out the last one sorry :(
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.