Answer: 41 or 85
<u>Step-by-step explanation:</u>
Range is the difference between the largest number and the smallest number.
The largest number is 72. 72 - 31 = 41
The smallest number is 54. 54 + 31 = 85
Adding either ONE of those numbers will result in a range of 31.
First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that <em>this is a quadrilateral</em>.
Second, all of the equations have the slope of <em>0 or undefined</em>, so it is a rectangle.
Lastly, the four points of intersection shows us that the side lengths are <em>3 and 5</em> units, so the area of it is 15 units².
9514 1404 393
Answer:
(x, y, z) = (90, 75, 105)
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.
(x -15) +(x +15) = 180
2x = 180
x = 90
Angles y and (x-15) are opposites, so ...
y = x -15 = 90 -15 = 75
Similarly, for z ...
z = x +15 = 90 +15 = 105
The values of x, y, and z are 90, 75, and 105, respectively.
The function that is graphed is y = |x -2| + 3. The correct option is D. y = |x -2| + 3
<h3>Absolute value graph</h3>
From the question, we are to determine the function for the given graph
From the graph,
When x = 2, y = 3
The equation that satisfy this condition is
y = |x -2| + 3
NOTE: This function satisfies all the points on the graph
Hence, the function that is graphed is y = |x -2| + 3
Learn more on Absolute value graph here: brainly.com/question/17082317
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This is the "commutative property of addition." The order in which you add numbers together doesn't matter, and doesn't change your final results.