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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
#LearnwithBrainly
Answer:
We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:
And the standard deviation for the sampling distribution would be:
So then the answer is TRUE
Step-by-step explanation:
Let X the random variable of interest and we know that the true mean and deviation for this case are given by:
We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:
And the standard deviation for the sampling distribution would be:
So then the answer is TRUE