Factor the trinomial x^2-2x-35
2 answers:
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The perimeter of triangle ABC is 24 units
Step-by-step explanation:
There is a fact in any triangle, the segment joining the mid points of
two sides of the triangle is:
- Parallel to the third side
- Its length is half the length of the third side
In Δ XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB = XZ
∵ XZ = 18 units
∴ AB = × 18 = 9 units
∵ C is the mid point of XZ
∵ B is the mid point of YZ
∴ BC = XY
∵ AY = 7 units
∵ AY = XY
∴ 7 = XY
- Multiply both sides by 2
∴ 14 = XY
∴ BC = × 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC = YZ
∵ BZ = 8 units
∵ BZ = YZ
∴ 8 = YZ
- Multiply both sides by 2
∴ 16 = YZ
∴ AC = × 16 = 8 units
∵ The perimeter of any triangle is the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/10677255
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Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
Step-by-step explanation:
From the question we are told that:
Sample size
Probability
No. that do not cover their mouth when sneezing
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
Where
Therefore