For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
117 + D = 180
D = 63 degrees
Answer:
-2
Step-by-step explanation:
The slope of a line is rise/run
So, just see how much the line rises/how much the line runs
In this case, the line rises 2 units for every -1 unit it runs
So, the slope is -2
Figure this out as though no digits are present. You can choose 8 of the 26 letters and that's it.
26^8 [you can allow repeating letters] = 2.088 * 10^11
The total number of ways that can be chosen with letters and digits intermixed = 36^8
The probability of getting no numbers is 26^8 / 36^8 or (26/36)^8 = 0.07402
So the probability that there were be at least one digit is
1 - 0.07402 = 0.92598
Answer:
∛V / (4/3π) = r
Step-by-step explanation:
V = 4/3πr³
Try to isolate r if you want to solve for it.
So divide everything that's not r from the right side in order to move it to the left side of the equation.
V / (4/3π) = r³
Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.
∛(V/(4/3π)) = r
Answer: $42.56
Step-by-step explanation:
Percent discount in department store = 38%
The regular price of suit = $112.
Price taken off the regular price of the suit =
38% of $112
So, 38% of $112
= (38/100) x $112
= 0.38 x $112
= $42.56
(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)
Thus, the price taken off the regular price of the suit is $42.56