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andreyandreev [35.5K]
3 years ago
15

By the congruent supplementary theorem, what can you conclude

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0

Answer:

<h2>The second option is what we can conclude.</h2>

Step-by-step explanation:

Angles FBC and DBG are congruent also because they are Opposite Angles by the Vertex, we can see trough vertex B, and neither angles have a common segment.

valina [46]3 years ago
5 0
Short Answer Only B is true.
Reasoning
A
A is not True. CBG is not equal to DBG. They are supplementary but not equal.

B 
B is correct.

C
CBG = DBF are given as equal. It is not necessarily true that they are supplementary. That would be true only if they were both 90o

D
The two angles are equal, but they are not supplementary. They would be only if both were 90o which is shown not to be the case.


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A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

3 0
2 years ago
Read 2 more answers
How much greater is the 5 in the hundreds place than the 5 in the tens place
Whitepunk [10]
The five in the hundreds place is 10 times grater than the five in the tenths place 
7 0
3 years ago
What is the simplest form of 4/9×4/5?
madam [21]

Answer:

16/45

Step-by-step explanation:

4/9 x 4/5=16/45 you just multiply straight across

7 0
3 years ago
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MAVERICK [17]

Answer: b=9

Step-by-step explanation: To find the slope we use: y2-y1/x2-x1

Which would then be: 5-b/-2-7= 5-b/-9

Then we have to find a number for b that would give us -4 as the numerator. That number would be 9

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6 0
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9/16 in simplest form
-Dominant- [34]
9/16.

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No number can go into 9 and at the same time go into 16.

So in simplest form it is still = 9/16 
3 0
3 years ago
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