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emmainna [20.7K]
2 years ago
11

In the figure, ∆ABD ≅ ∆CBD by Angle-Side-Angle (ASA). Which segments are congruent by CPCTC?

Mathematics
1 answer:
Elis [28]2 years ago
8 0

Answer: AB ≅ CB

Step-by-step explanation:

In the given figure, we have ∆ABD ≅ ∆CBD

The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.

Since we have given that ∆ABD ≅ ∆CBD.

Therefore, the corresponding segments are congruent.

As segment AB is corresponding to segment CB. [First two letters]

Therefore, segment AB is congruent to segment CB.

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
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Answer:

Z = (60 - x + y + z) / √a + b + c

Step-by-step explanation:

Since it is a normal distribution, we must calculate the mean and standard deviation, since we do not have data, what we will do is leave them based on these:

Thus Total Mean time = M1 + M2 + M3

given:

M1 = x

M2 = y

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Total Mean Time M = x + y + z

Now to calculate the standard deviation we first calculate the variance.

The total Variance V = V1 + V2 + V3

Given:

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V = a + b + c

Thus Standard deviation SD of the complete operation is

SD = √ V

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we need to find the probability that the mean time is less than or equal to 60 minutes, the first thing is to find the value of Z.

Formula of Z is:

Z = (X - M) / SD

In this case X = 60.

On plugging the values we get

Z = (60 - x + y + z) / √a + b + c

refer to the Z table and find the Probability of Z ≤ (60 - x + y + z) / √a + b + c

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edge2020

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Read 2 more answers
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