The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."
The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.
Answer:
C. 8 to the -12 power
Step-by-step explanation:
when dividing numbers with an exponent, if they are the same # like 8 and 8, then you just subtract the exponents so 4 - 16 = -12
The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
We substitute the points given above to the formula as follows:
midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2
So, the midpoint is located at point 5/6, 3/2.
