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GenaCL600 [577]
3 years ago
12

Prove that congruent triangles have congruent corresponding angle bisectors.

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0
When two triangles are congruent, everything in them is congruent (same). So, the angle bisector of one triangle is congruent to the corresponding angle bisector of the other triangle.
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A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?
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Answer:

63

Step-by-step explanation:

Make a ratio:

5 : 7 = 45 : x

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makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

First Mistake : Line 2

a = x \\ b = 6 \\ c = 10

Second Mistake : Line 4

136 =  {x}^{2}  \\ not \\ 136 = x

Correct Solution :

{x}^{2}  +  {6}^{2}  =  {10}^{2}  \\  {x}^{2}  =  {10}^{2}  -  {6}^{2}  \\  {x}^{2}  = 100 - 36 \\

{x}^{2}  = 64 \\  \sqrt{ {x}^{2} }  =  \sqrt{64}  \\ x = 6

3 0
3 years ago
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