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Flura [38]
2 years ago
10

Is AB parallel to CD? Explain.

Mathematics
1 answer:
professor190 [17]2 years ago
8 0

Answer:

yes,because parallel line are lines with point which do not meet and the two lines in the plane will not meet nor intersect .

Step-by-step explanation:

obviously a parallel line

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Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)l
vovikov84 [41]

Answer:

y = \frac{1}{5}x +\frac{13}{5}

Step-by-step explanation:

Given

(x_1,y_1) = (2,3)

(x_2,y_2) = (7,4)

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{4 - 3}{7 - 2}

m = \frac{1}{5}

The equation is then calculated as thus:

y - y_1 = m(x - x_1)

This gives:

y - 4 = \frac{1}{5}(x -7)

Open bracket

y - 4 = \frac{1}{5}x -\frac{7}{5}

Add 4 to both sides

y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x -\frac{7}{5} + 4

y = \frac{1}{5}x +\frac{-7+20}{5}

y = \frac{1}{5}x +\frac{13}{5}

6 0
3 years ago
Does Emiliano need more than 1 stick of butter or less than 1 stick of butter for the corn bread and the apple muffins?
Nookie1986 [14]

Answer:

Emilio needs less than 1 stick of butter

Step-by-step explanation:

Emilio needs 1/2 stick of butter to make cornbread . He also needs 1/4 stick of butter to make apple muffins . Does Emilio need more than I stick of butter to make both recepes or less than 1 stick of butter ? How do you know?

Cornbread = 1/2 stick of butter

Apple muffins = 1/4 stick of butter

Total sticks of butter = cornbread + apple muffins

= 1/2 + 1/4

= (2+1) / 4

= 3/4 stick of butter

= 0.75 stick of butter

0.75 stick of butter is less than 1 stick of butter

Therefore,

Emilio needs less than 1 stick of butter

4 0
3 years ago
Solve the following non-linear system of equations algebraically.
ExtremeBDS [4]

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

6 0
3 years ago
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If
djyliett [7]

Answer:

Option a. 0.9811

Step-by-step explanation:

First, you need to use a normal distribution table to solve this. If you don't have it, then see the attached table so you can guide yourself.

Now, we want to know the probability of randomly select 75 women whose height have a mean between 63 and 65 inches, knowing that in general, the mean is 63.5 and standard deviation of 2.5

To do this, you should calculate first the Z score value for both heights, one for 63 inches and the other with 65 inches. Then, with those values, we'll look the table to get the area under the curve, and thus, the probability. To calculate Z use the following expression:

Z = x - μ / (σ/√n)

Where:

μ: mean height

σ: standard deviation

x: height required

n: sample population

We have all the data so let's calculate both values of Z:

Z1 = 63 - 63.6 / (2.5/√75) = -2.08

Z2 = 65 - 63.6 / (2-5/√75) = 4.85

With these Z score, let's watch the table, and see which area belongs to,

In the case of Z1, the area is 0.0188, while Z2 is 1.

To know the probability, all we need to do is substract those values:

P = 1 - 0.0188 = 0.9812

Option a) is the most accurate and closest result to this.

5 0
3 years ago
Given the two sets, which statement is true?
monitta
I think it is 3 A but it is hard to know what the question is asking... but my logic is that 3 A is right because A = 1+2 = 3
6 0
3 years ago
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