For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.
Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:
The opposite angles in a parallelogram are congruent, therefore:
The sum of internal angles is 360º, therefore we have:
The value of x is 33º, the value of y is 38º and the value of z is 109º.
Why not write all of the numbers in decimal fraction form, to make them easier to compare?
68 2/3 = 68.666...
72 1/2 = 72.500
68 3/10 = 68.300
74 7/11 = 74.636...
68 1/2 = 68.500
550/8 = 68.750
Now ask yourself: Which of the last four numbers is between 68.666.. and 72.500?
9 is in parentheses therefore it's elevated above 3 that means you have to do operations on it first.
3 + (-9) = -6
The sum is negative.
Answer:
The slope is 24
Step-by-step explanation:
Use any two points in the graph to find the slope of the graph
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Step 1. Use two points
Ex: (10, 320) & (5, 200)
Step 2. Find the slope using the two points
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
m = (200 - 320)/(5 - 10)
m = -120/-5
m = 120/5
m = 24
The slope of the graph/line is 24
Answer:
-7.5 - (8.5 + 5)
Step-by-step explanation:
We just add together the values of how much it dropped at different parts of the day, and subtract them from what we started with. The parenthesis are important cause we want to know what the total temperature drop for the day was before we subtract it to get the actual temperature we end up with.