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Reptile [31]
3 years ago
12

Can someone explain segment addition/subtraction in terms of congruence in geometry? Can they also provide an example? Thanks.

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Segment subtraction (three total segments): If a segment is subtracted from two congruent segments, then the differences are congruent. Angle subtraction (three total angles): If an angle is subtracted from two congruent angles, then the differences are congruent.

branlist please

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Answer:

x^2-4x+3

63\ \text{sq. units}

Step-by-step explanation:

l = Length = \dfrac{x^2-x-6}{x-5}

w = Width = \dfrac{x^2-6x+5}{x+2}

Area is given by

A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3

Area of the room is x^2-4x+3.

If x=10

Area of the room

A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}

So, the amount of carpet needed would be 63\ \text{sq. units}.

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Question 6(Multiple Choice Worth 4 points)
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