The statement above is false.
If the diagonals of a parallelogram form right angles, then the parallelogram is a rhombus (a rhombus is a quadrilateral with four equal side lengths).
Note* = by saying the statement is false is not saying that the scenario presented in the statement cannot occur. If the rectangle was a square, then its diagonals can form right angles since a square is also a rhombus. However, if a rectangle was NOT a square, its diagonals would not form right angles. A true statement is a statement where ALL cases fit the said requirement(s).
The statement can also be corrected by saying:
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
All rectangles (even a square) have congruent diagonals, so this statement would be true.
Hope this helps!
8 * 10^3 is larger than 4 * 10^2
10*10*10 = 1000 * 8 = 8000
10*10= 100 * 4 = 400
Twenty-four subtracted by the sum of six and three
Answer:
(2,0) - x -intercept
(0, 1.5) - y-intercept
Step-by-step explanation:
The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.
The x values increase by 4.
So the rate of change is -3/4.
This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.
To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:
x y
-2 3
0 ???
2 0
6 -3
10 -6
14 -9
Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.
The total area under the curve must equal 1. Let the value of the density curve be x. Then 10x = 1. Therefore x = 1/10 or 0.1.
The correct answer is D. 0.1.
