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3 years ago

Find the value of each variable in the parallelogram.

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

Answer:

u = 4; v = 18

because this is a parallelogram

=> 2u + 2 = 5u - 10

6 = v/3

<=> 3u = 12

v = 6.3

<=> u = 4

v = 18

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

$x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}$

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

$2=\frac{1+x_{2} }{2}\\ 4=1+x_{2}\\ 4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7$

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

$5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0$

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0

3 years ago

The area of Gateway National Recreation is about twenty-six thousand, six hundred and sixty-three hundredths. Which shows this n

Delicious77 [7]

Answer:

B. 26,606.63

Step-by-step explanation:

The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths. Which shows this number in standard form? A. 26,606.3 B. 26,606.63

C. 26,660.63 D. 26,666.3

Solution

Break down and writing in numerals of twenty-six thousand, six hundred six and sixty-three hundredths.

Twenty six thousand = 26,000

Six hundred six = 606

Sixty - three hundredth = 0.63

Adding

26,000 + 606 + 0.63

We have

26,606.63

The correct answer is B

5 0

3 years ago

What is the y-intercept of the line given by the equation y=5x-21

Bess [88]

Answer: C.( 0,-21)

Step-by-step explanation: Use the slope-intercept form to find the slope and y-intercept.

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3 years ago

Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.

ad-work [718]

Answer:

the equation of the line is y=-3x+1

have a great day! hope this helped :D

8 0

3 years ago

What is 572 rounded to the nearest 10 and 100

Liula [17]

572 rounded to the nearest 10 is 570 and 572 rounded to nearest 100 is 600.

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3 years ago