What is 3/7 in words

Answers

Answer 1

Answer: three sevenths !!!!!!

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For what values of the variables must ABCD be a parallelogram?

Answers

okfirst things first. In all parallelograms, you now that opposite anglesare numerically equal to each other and that the sum off all fourangles must add up to 360.

Therefore based off the picture, angles B and D are equal to each other, and A and C are equal to each other.

(2x-10) = (y+20) B = D
y=2x-30

Now B = 2x -10 and D = 2x-30+20 = 2x-10

Now A = C

Since A = 2x+ 10, we can assume C = 2x + 10

Now we need to find the value of x

so our angle A, B, C, and D add up to 360 so the "master equation" is:

(2x - 10) + (2x - 30 + 20) + (2x + 10) + (2x + 10) = 360
2(2x -10) + 2(2x + 10) = 360
4x - 20 + 4x + 20 = 360
8x = 360
x = 45

Now that we know what x is, we can go back to the angles B and D

remember B = 2x - 10 and D = y + 20

and earlier we stated that y=2x-30
therefore y = 2(45) - 30
Y = 60

Now if you wanted to double check, all you have to do is plug in the xand y values into the equations and add up all the angles together andthey should add up to 360.

I know I kinda went into too many details, but I'd rather explain itinto too much detail rather than too few details and shortcuts that youwouldn't be able to follow and understand.

I hope this was helpful =D

Final answer:

ABCD is a parallelogram if either both pairs of opposite sides are parallel, both pairs of opposite sides are equal, or one pair of opposite sides is both parallel and equal.

Explanation:

In mathematics, a quadrilateral ABCD is considered a parallelogram if it meets one of these three conditions:

Both pairs of opposite sides are parallel (AB || DC and AD || BC).
Both pairs of opposite sides are equal (AB = DC and AD = BC).
One pair of opposite sides is both parallel and equal (AB = DC and AB || DC).

So, the values of the variables you have in your problem have to satisfy at least one of these conditions to make ABCD a parallelogram.

Learn more about Parallelogram here:

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Rewrite each expression as a sum.12. - 8x2 + 3xy - 9x - 3

13. 2ab -- 5ab2 - 9a2b

Answers

13 ). 2ab + 5ab x 2 - 18ab

2ab + 10ab - 18ab

- 6ab

Answer= - 6ab

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2). What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

Answers

Answer:

y=1/5x+12/5

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Answer:

y=1/5x+12/5

Step-by-step explanation:

took the testttt :))

Nate wants to visit his friend Mac before going to the park. Nate's house is located at (-2, 4), while the park is located at (10, 2). Find the bacation of Mac's house if it is of the distance from Nate's house to the park.

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between two points as shown;

D = √(x2-x1)²²+(y2-y1)²

Given the coordinates (-2, 4) and (10,2)

x1 = -2, y1 = 4, x2 = 10 and y2 = 2

substitute into the formula;

D = √(10+2)²+(2-4)²

D = √(12²+(-2)²

D = √144+4

D = √148

D = 12.17 units

Hence the distance of Mac,s house from Nate's house is 12.17 units

Final answer:

To find the coordinates of Mac's house, we use the section formula in mathematics. By substitifying the given locations of Nate's house and the park into the formula, we conclude that Mac's house is located at approximately (2, 3.33) which is one third the distance from Nate's house to the park.

Explanation:

In this math problem, we are dealing with points in a 2D cartesian coordinate system. Nate's house is at (-2, 4) and the park is at (10, 2). Mac's house is located one third of the distance between these two points. Following the formula for the coordinates of a point dividing a line segment in a given ratio, we can find Mac's house location.

Let the coordinates of Mac's house be (x, y). We use the formula for section formula which is:

x = [(m*x2 + n*x1) / (m+n)] and y = [(m*y2 + n*y1) / (m+n)]

Here, x1, y1 (-2, 4) are the coordinates of Nate's house, x2, y2 (10, 2) are the coordinates of the park and the ratio m:n is 1:2 since it's one third of the distance from Nate's house to the park.

By substituting these values in the formula, we get x = [(1*10 + 2*-2) / (1+2)] = 2 and y = [(1*2 + 2*4) / (1+2)] = 3.33

So, the coordinates of Mac's house are approximately (2, 3.33).

Learn more about Coordinate Geometry here:

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-4^2=?

PLEASE ANSWER QUICKLY!!!!

Answers

Answer:

Step-by-step explanation:

-16

Answer: -16

Step-by-step explanation:

-4 x -4 = -16

squaring is basically just multiplying the # by itself.

what are the minimum first quartile median third quartile and the maximum of the data set? 9,20,4,18,4,18,20,9

Answers

Answers
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20

Explanation
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.

Part 1:
The minimum value of the data is 4.

Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9

1st quartile = (4+9)÷2
= 13÷2
= 6.5

Part 3:
Median of the data is;

Median = (9+18)÷2
=27÷2
= 13.5

Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.

3rd quartile = (18+20)÷2
= 48÷2
= 19

Part 5
The maximum of the set of data is 20.

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