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2 years ago

What is the area of the trapezoid below?

Mathematics

1 answer:

Softa [21]2 years ago

3 0

Answer:

Step-by-step explanation:

Hope this helps! have a great day!

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KLMN is a parallelogram,

Aleonysh [2.5K]

Answer:

Ok soo.

Step-by-step explanation:

sum of two adjacent angles of parallelogram is 180

so angle K + angle L = 180

as AK bisects angle K and LA bisects angle L

so, angle AKL + angle ALK = 180 /2 = 90

in triangle AKL,

angle AKL + angle ALK+angle KAL = 180(sum of all angles in triangle = 180)

so, from above two equations,

angle KAL = 90

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4 0

2 years ago

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th

ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{38-38}{6}=\frac{0}{6}=0$

Now we will find z-score corresponding to 56.

$z=\frac{56-38}{6}=\frac{18}{6}=3$

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is $-3\sigma\text{ to }3\sigma$ .

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

$\frac{99.7\%}{2}=49.85\%$

Therefore, approximately $49.85\%$ of lightbulb replacement requests numbering between 38 and 56.

6 0

3 years ago

Three angles fits exactly around a point. Two of the angles are equal.The diffrence between the largest and the smallest angle i

IrinaK [193]

Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

3 0

3 years ago

Which inequality is true for x=5

Andreyy89

Answer:

The answer is A) 2x+ 5 > 13

Step-by-step explanation:

4 0

2 years ago

Help solve! stuck on factoring

sweet-ann [11.9K]

Answer:

a = x and b = 4

Step-by-step explanation:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

a = x and b = 4

4 0

3 years ago

Read 2 more answers