Answer:
the probability is 3/6 or 1/2
Step-by-step explanation:
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: The total price of a bench is 1.008x.
Step-by-step explanation:
Since we have given that
Let the cost price be 'x'.
Mark up % = 120%
So, Mark up value would be

Discount % = 20%
Amount of discount is given by

So, it becomes,
Amount after discount is given by

Sales tax = 5%
Amount of sales tax would be

Hence, the total price of a bench is 1.008x.
<span>The return for the investment is C, or 15.56%. You add the dividend and the capital gain, $4+$3=$7, and then divide by the initial investment price, or $45. 7/45=.1556, or 15.56%.</span>