Answer:
i. LM || NO (converse alternate interior angle theorem)
ii. <1 ≅ <2 (alternate interior angle theorem)
Step-by-step explanation:
Two or more lines are said to be parallel if they do not meet when extended, even till infinity.
Alternate angles are said to be equal in measure.
Given that;
<1 ≅ < 3,
Since <2 ≅ <3 (alternate interior angle theorem)
Then,
<1 ≅ <2 (transitive property)
Also,
<1 ≅ <2 (alternate interior angle theorem)
Therefore since <1 ≅ <2, thus;
LM || NO (converse alternate interior angle theorem)
Answer:
Yes
Step-by-step explanation:
9/21 SIMPLIFIED= 3/7
6/14 SIMPLIFIED= 3/7
Answer:
a) 2/3
b) 1/3
Step-by-step explanation:
Let X be the random event that measures the time you will have to wait.
Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute
P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.
a)
P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3
b)
P(10 < X ≤ 20) = (20-10)/30 = 1/3
4 Times 3 equals 12 so add 12 three times that equals 36 cubes in the prism.
Answer:
You would get 50 coins in that time.
Step-by-step explanation:
To find this, we first need to find the unit rate. We can get that by dividing the amount of coins by the amount of time.
15 coins/ 30 mins = .5 coins per minute.
Now, we have 100 minutes in the second part of the problem, so we multiply the rate by that amount of time.
.5 coins per min * 100 mins = 50 coins
