Answer:
30 degrees.
Step-by-step explanation:
We are going to use two theorems: Triangle Sum Theorem and Vertical Angles Theorem. Please let me know if you need me to define them.
Here is how I solved this problem:
75+75 = 150.
180-150 = 30(Triangle Sum theorem)
x = 30(Vertical Angles theorem.)
Answer:
x = 11
y = 17
Step-by-step explanation:
5y and (7y - 34) are vertical angles which means they're equal to each other:
5y = 7y - 34
5y - 7y = -34
-2y = -34
y = 17
(8x + 7) and (9x - 4) are also vertical angles:
8x + 7 = 9x - 4
8x - 9x = -4 - 7
-x = -11
x = 11
Answer 11/20
Step-by-step explanation:
Answer:
<u>The correct answer is B. 3/10.</u>
Step-by-step explanation:
1. Let's calculate the probability of spinning an odd number:
We can spin an odd number (1, 3 or 5) out of 5 events, it means that the probability of spinning an odd number is:
3/5
2. Let's calculate the probability of getting tails on the coin:
We can toss a coin and get tails one out of 2 events, it means that the probability of getting tails on the coin is:
1/2
3. These are independent events because the fact that we spin an odd number does not affect the probability of getting tails on the coin, thus:
Probability of spinning an odd number and getting tails on the coin =
3/5 * 1/2 = 3/10
<u>The correct answer is B. 3/10</u>
