Answer:
1. ∠A and ∠B are right angles. Given
2. m∠A = m∠ B All right angles are congruent.
3. ∠BEC≅ ∠AED Vertical angles are congruent
4. ΔCBE ~ ΔDAE AA
Step-by-step explanation:
A proof always begins with the givens.
1. ∠A and ∠B are right angles. -------------->Given
2. m∠A = m∠ B are equal since-----------> All right angles are congruent.
3. ∠BEC≅ ∠AED are also equal since---->Vertical angles are congruent
4. ΔCBE ~ ΔDAE since two angles are equal----------> AA
Answer:
the answer is 'undefined'
Step-by-step explanation:
Cot is defines as (cos x)/(sin x)
So we can rewrite our expression as...
(cos 180°)/(sin 180°) + (cos 180°)/(sin 180°)
or
2(cos 180°)/(sin 180°)
Cos 180° = 1, sin 180° = 0 (you get these from the unit circle)
so we have
2(1/0) = 2/0, which is undefined, because we don't divide by zero
Answer:
Therefore, 94% of the total beverages are hot decaffeinated beverages.
Step-by-step explanation:
Let's break down the information given step by step to find the percentage of hot decaffeinated beverages:
73% of beverages are cold.
43% of beverages are caffeinated.
37% of beverages are cold and caffeinated.
To find the percentage of hot decaffeinated beverages, we can first find the percentage of cold caffeinated beverages, and then use that information to find the percentage of hot caffeinated beverages.
Percentage of cold caffeinated beverages = Percentage of beverages that are both cold and caffeinated = 37%
Now, let's find the percentage of hot caffeinated beverages:
Percentage of hot caffeinated beverages = Percentage of caffeinated beverages - Percentage of cold caffeinated beverages = 43% - 37% = 6%
Since beverages are only hot or cold and caffeinated or decaffeinated, the sum of the percentages of hot and cold caffeinated beverages should be equal to the total percentage of caffeinated beverages:
Percentage of hot caffeinated beverages + Percentage of cold caffeinated beverages = Percentage of caffeinated beverages 6% + 37% = 43%
Now, let's find the percentage of hot decaffeinated beverages:
Percentage of hot decaffeinated beverages = 100% - Percentage of hot caffeinated beverages = 100% - 6% = 94%
Therefore, 94% of the total beverages are hot decaffeinated beverages.
Step-by-step explanation:
Let's look at this question step by step.
Cold and hot beverages.
--> 73% and 27%
Caffeine or decaffeinated
--> 43% and 57%
Then it has said that 37% are cold caffeinated beverages.
Which means 100% minus 37% would be 63%.
Answer is 63%.
Answer:
I will like to help you but where is the diagram?
Step-by-step explanation: