<u>Answer</u>:
x = 20
<u>Explanation</u>:
all the interior angles in the triangle is 180°
<u>therefore</u>:
4x - 17° + 71° + 46° = 180°
4x + 100° = 180°
4x = 180° - 100°
4x = 80°
x = 20°
Answer: 101
Step-by-step explanation:
45 women total
17 women will not watch the game
So 33 people did not want to watch the game and 17 are women
33-17 = 16 men who won’t watch the game
So 40 men who will and 16 men who won’t equals 56 men and 45 women
56+45= 101
Since you mentioned the fundamental counting principle, I assume you are looking for the total number of possibilities.
If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.
If you are doing both, you multiply the two numbers together.
12 x 7 = 84
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
(1/2) ^2 = 1/2 * 1/2 = 1/4
1/4 < 1/2