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3 years ago

What is the perimeter of rectangle JKLM?

Mathematics

2 answers:

KIM [24]3 years ago

3 0

Answer: Third option.

Step-by-step explanation:

The missing figure is attached.

The perimeter of a rectangle can be calculated with:

$P=2l+2w$

Where "l" is the length and "w" is the width.

We can see that the width of this rectangle is:

$w=12\ units$

So, we need to find the lenght.

Let be P the point of intersection of the diagonals.

The diagonals of a rectangle are equal.

Since:

$JM=12\\MO=10$

We know that, by definition:

$JP=LP=MP=KP$

Then, we can find the lenght of the rectangle by using the Pythagorean Theorem:

$MK^2=KL^2+LM^2$

We can identify that:

$MK=10\ units+10\ units=20\ units\\KL=12\ units$

Then, subsituting values and solving for "LM", we get:

$20^2=LM^2+12^2\\\\LM=\sqrt{20^2-12^2}\\\\LM=16\ units$

Substituting values into the formula for calculate the perimeter, we get:

$P=2(16}\ units)+2(12\ units)=56\ units$

bagirrra123 [75]3 years ago

3 0

Answer:

Step-by-step explanation:

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Svet_ta [14]

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Solution:

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Step-by-step explanation:

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Ahat [919]

Answer:

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Step-by-step explanation:

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Lunna [17]

Answer:

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Step-by-step explanation:

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

$X = 96, \mu = 72, \sigma = 12$