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Ivenika [448]
3 years ago
13

In parallelogram lmno what is the measure of angle m ? 206080100

Mathematics
2 answers:
Stella [2.4K]3 years ago
5 0
It is 80. Opposite angles in a parallelogram are equal.
melamori03 [73]3 years ago
3 0

Answer: Value of angle M i.e. ∠M is 80° .

Step-by-step explanation:

Since we have given that

MNOL is a parallelogram and we know that opposite angles are equal .

So, According to question, we have

3x+40=5x\\\\40=5x-3x\\\\40=2x\\\\\frac{40}{2}=x\\\\20=x

So,\ \angle N= 5x=5\times 20=100\textdegree

Similarly,

\angle L= 3x+40=3\times 20+40=60+40=100\textdegree

Now, we know that "Interior angle on the same side of the transversal is supplementary ":

\angle M+\angle N=180\textdegree\\\\\angle M+100\textdegree=180\textdegree\\\\\angle M=180\textdegree-100\textdegree\\\\\angle M=80\textdegree

Hence, value of angle M i.e. ∠M is 80° .

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What value of z* should be used to construct a 97 confidence interval of a population mean?
Vaselesa [24]

The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

<h3>What is confidence interval?</h3>

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

  • Statistical tools, such as the t-test, are used to compute confidence intervals.
  • Confidence intervals are used by statisticians to quantify uncertainty in such a sample variable.
  • A researcher, for example, may randomly select multiple samples drawn from the same population and compute a confidence interval for every sample to determine how well it might represent the real value of a population variable.
  • The generated datasets are all unique; some intervals contain the genuine population parameter while others do not.

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

P(-2.17 < Z < 2.17)=0.97

Therefore the obtained probability for the z-score of 2.17 is 0.97.

To know more about the confidence interval, here

brainly.com/question/15712887

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3 0
1 year ago
john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he le
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Step-by-step explanation:

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2 years ago
Solve 9x-10÷2=x+9<br>explain how​
Mariulka [41]

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Step-by-step explanation:

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3 years ago
Zack watered his garden with 1 3/8
victus00 [196]

Answer:

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

Step-by-step explanation:

Let's find out the pattern Zack is using to water his garden, this way:

First week =  1 3/8  gallons of water

Second week = 1 3/4 gallons of water = 1 3/8 + 3/8 = 1 6/8 = 1 3/4

Third week = 2 1/8 gallons of water = 1 3/4 + 3/8 = 1 6/8 + 3/8 = 2 1/8

The constant of adding every week is 3/8 gallons, therefore,

Fourth week = 2 1/8 + 3/8 = 2 4/8 = 2 1/2 gallons of water

Fifth week = 2 1/2 + 3/8 = 2 4/8 + 3/8 = 2 7/8 gallons of water

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

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