Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:
77 is a composite number
Step-by-step explanation:
41 = 1 × 41
77 = 1 × 77 = 7 × 11
83 = 1 × 83
89 = 1 × 89
97 = 1 × 97
A midsegment is given by the formula:
Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:
This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:
We can do the following:
This simplifies to
:)
The answer to this question is 8 for $6
Answer:
The best deal is the middle one.
Step-by-step explanation:
35.95 with a 20% discount.
You can do this the straight forward way. Take 20% 35.95
20/100 * 35.95 = 7.19
Now subtract this from 35.95
35.95 - 7.19 = 28.76
15/100 * 29.75 = 4.46
29.75 - 4.46 = 25.28
25% * 38.49 = 9.62
38.49 - 9.62 = 28.86
