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klio [65]
3 years ago
11

25 POINTS

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.

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Solve for A, need this done in under a half hour please ;-;
jasenka [17]

Answer:

x=30, and angle A equals 132°.

Step-by-step explanation:

Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:

5x-18°=3x+42°

You would need to solve for <em>x</em>, which should equal to 30.

Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:

5(30)-18°

150-18°

Angle A = 132°.

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3 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The
faltersainse [42]

Answer:

34%

Step-by-step explanation:

Given that the distribution of daily light bulb request replacement is approximately bell shaped with ;

Mean , μ = 45 ; standard deviation, σ = 3

Using the empirical formula where ;

68% of the distribution is within 1 standard deviation from the mean ;

95% of the distribution is within 2 standard deviation from the mean

Lightbulb replacement numbering between ;

42 and 45

Number of standard deviations from the mean /

Z = (x - μ) / σ

(x - μ) / σ < Z < (x - μ) / σ

(42 - 45) / 3 = -1

This lies between - 1 standard deviation a d the mean :

Hence, the approximate percentage is : 68% / 2 = 34%

5 0
3 years ago
Question 2(Multiple Choice Worth 1 points)
kramer

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it is a linear expression

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sukhopar [10]

Answer: 1/50

Step-by-step explanation:

0.020 = 20/1000 = 1/50

4 0
3 years ago
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lord [1]
The answer is D hope it helps.

7 0
3 years ago
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