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KengaRu [80]
3 years ago
5

Proving the Parallelogram Side Theorem

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

To prove a quadrilateral is a parallelogram, you must use one of these five ways.

Prove that both pairs of opposite sides are parallel.

Prove that both pairs of opposite sides are congruent.

Prove that one pair of opposite sides is both congruent and parallel.

Prove that the diagonals bisect each other.

Step-by-step explanation:

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PLS HELPPPPPPP MEEEEE
____ [38]

Answer:

4.7 · 10^7

Step-by-step explanation:

4 0
3 years ago
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this
Rasek [7]

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \mu = 328, \sigma = 82

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

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

0 = \frac{X - 328}{82}

X - 328 = 0*82

X = 328

The cut-off dollar amount is $328.

7 0
3 years ago
Ten less than five times a number is less than six times the number decreased by eight
Luden [163]

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

<em><u>Add 5x to both sides</u></em>

10 < 11x - 8

<em><u>Add 8 to both sides</u></em>

18 < 11x

<em><u>Divide both sides by 11</u></em>

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.

4 0
3 years ago
The perimeter of a rectangular field is 380 yards. The length is 70 yards. Find the dimensions.
lawyer [7]
380-140 is 240 and 240 divided by 2 is 120 and that's the width, 120
4 0
3 years ago
First to answer correct will be the baranist .the ratio of students who wear spectacles is 2:5.
aleksklad [387]

Answer:

1) Who wear: 2:5

Whi don't wear: 3:5

2) 10 don't wear spectacles

3) 25

Hope it helps!!!

8 0
3 years ago
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