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uranmaximum [27]
2 years ago
10

Does anyone have the answer key to these proofs? They are Mrs. E Teaches Math introductory proofs. There are 14 total. I've done

1-9.​

Mathematics
1 answer:
nasty-shy [4]2 years ago
6 0

Statement 1:  2AB = AC

Reason 1: Given

--------------------------------------------

Statement 2:  AC = AB+BC

Reason 2: Segment addition postulate (which your teacher abbreviated to "Seg + Post")

--------------------------------------------

Statement 3: 2AB = AB+BC

Reason 3: Substitution

--------------------------------------------

Statement 4:  2AB-AB = AB+BC-AB

Reason 4: Subtraction Property of Equality

---------------------------------------------

Statement 5: AB = BC

Reason 5: Combine like terms

----------------------------------------------

Notes:

  • The first reason is "given" since we just simply restate what the instructions provide. If you are given multiple items, you list each one at a time.
  • The segment addition postulate is where we break a line into smaller parts and then build it back together.
  • Substitution is simply replacement. We've replaced AC with 2AB.
  • The subtraction property of equality is the idea where we subtract the same thing from both sides. In statement 4, we're subtracting AB from both sides.
  • The last statement of any proof is always the thing we're trying to prove. Once we reach such a statement, there's no need to go any further since the proof has concluded.
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vazorg [7]

Answer:

y=1

Step-by-step explanation:

20-18/6-4 = 2/2 = I

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3 0
2 years ago
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The values of x and y are proportional. Determine the constant of proportionality(k)
Studentka2010 [4]
<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0
3 years ago
Please help me asap​
omeli [17]

Answer:

-.51, .1/2, .42, 11/20

3 0
3 years ago
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Find the slope of the line that passes through (-49, 68) and (-43, 67).
Arte-miy333 [17]

Answer:

Slope = 67 - 68 / -43 + 49

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8 0
3 years ago
Victoria and Georgetown are 67.2 miles from each other. How far apart would the cities be on a map that has a scale of 0.9 inche
Artemon [7]

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

7 0
3 years ago
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