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Murljashka [212]
2 years ago
9

Are the triangles named below congruent? Justify your answer. AABC AAED

Mathematics
2 answers:
anyanavicka [17]2 years ago
5 0
Yes by either SSS or SAS
Anni [7]2 years ago
4 0
Yes, sides AC and AD are congruent and lines BC and DE are also congruent. They also share angle A and bc of the SSA congruence Theorem that means they are congruent.
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Answer:

The line graph is:

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2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
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Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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20 multiplied (times) 4 is equal to 80 c:
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