Answer:
The answer to your question is A) they are similar because of AA criterion
Step-by-step explanation:
- ∠ QYP is ≅ to ∠ DNP given
- ∠ QPN is ≅ to ∠ DPN vertical angles
- ∠ YQP is ≅ to ∠ NDP if two angles are congruent third angle
is also congruent.
Conclusion
ΔYPQ is similar to ΔNPD because of AA similarity.
Let's pose this question a different way: what are the chances that one out of all possible events is going to happen? What are the chances that, if I roll a die, I will roll a 1, 2, 3, 4, 5, or a 6? What is the probability, if I flip a coin, that the outcome will either be heads or tails? When we take every possible outcome and add their probabilities together, the sum of the probabilities will be 100%, or 1.
Example:
Coin Toss:
Prob of Heads (.5) plus Prob of Tails (.5) = 1
Dice roll:
1/6 (odds of rolling any given number) times 6 (number of possibilities) = 1
Answer:
c) 1/3
Step-by-step explanation:
since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3
<h3>
Answer: 72.54</h3>
====================================================
Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
Printer A prints for 10 minutes, so prints
... (30 pages/minute)×(10 minutes) = 300 pages
Printer B prints for 7 minutes, so prints
... (40 pages/minute)×(7 minutes) = 280 pages
At the end of 10 minutes, the two printers will have printed
... 300 pages + 280 pages = 580 pages
