Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB 
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
1 because you replace x with 2 so, (2)squared -5x2 + 7 = 4 - 10 + 7 = 1
Answer:
Check the explanation
Step-by-step explanation:
Since each and every one of the 4 hallways is equally likely then
Now, if he chooses H1 he escapes after 12 minutes then
If he chooses H2 then he wastes 10 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Therefore
So we have
Therefore he is expected to escape in 72 minutes
The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.
<h3>Speed</h3>
let
- distance covered in first Part = d1
- distance covered in second Part = d2
- distance covered in third Part = d3
- speed covered in first Part = s1
- speed covered in second Part = s2
- speed covered in third Part = s3
Distance in second Part:
d₃ = 15 x 300
= 4500 m
d₂ = 2/5 × d₃
= 2/5 x 4500
d₂ = 1800 meters
Speed in second part:
S₂ = 1800 m / 12 min
S₂ = 150 meters per minute
Learn more about distance:
brainly.com/question/4931057
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Answer:
7/12
Step-by-step explanation:
5/6 = 10/12
1/4 = 3/12
10/12 - 3/12 = 7/12
