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kolezko [41]
4 years ago
6

Which of the following justifies the statement below? If AB = BC and BC = DE, then AB = DE.

Mathematics
1 answer:
gogolik [260]4 years ago
3 0

Answer:

A transitive property

Step-by-step explanation:

There isn't much to this.

This is the the transitive property.

I guess I can go through each choice and tell you what the property looks like or postulate.

A)  If x=y and y=z, then x=z.

This is the exact form of your conditional.

x is AB here

y is BC here

z is DE here

B) Segment Addition Postulate

If A,B, and C are collinear with A and B as endpoints, then AB=AC+CB.

Your conditional said nothing about segment addition (no plus sign).

C) Distributive property is a(b+c)=ab+ac.

This can't be applied to any part of this.  There is not even any parenthesis.

D) The symmetric property says if a=b then b=a.

There is two parts to our hypothesis where this is only part to the symmetric property for the hypothesis .  

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step-by-step explanation:

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5 0
3 years ago
The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap
Shalnov [3]

Answer: Options A and C.

Step-by-step explanation:

 The parent exponential function has the form:

f(x)=b^x

This can be transformated as following:

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When you add a number <em>k</em> to the parent function, the function is shifted up (f(x)+k)

The parent function given in the problem is:

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To obtain the function g(x)=3*2^x+5, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

5 0
3 years ago
Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 f
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3x/4         by bus
1/2 . x/4  =  x/8  by jogging
the remaining distance  =  x/8               by walking
thus      x/8 = 800ft
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Step-by-step explanation:

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