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spin [16.1K]
3 years ago
11

Question 3 (2 points

Mathematics
1 answer:
astraxan [27]3 years ago
7 0
(n-2)multiple 180 degrees the formula for finding the sum of all angles in a polygon regular here n represents the number of sides of the polygon.
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Answer:

m= 5/2

Step-by-step explanation:

Points: (0, 2) and (4, 12)

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m=(y2-y1)/(x2-x1)

m=(12-2)/(4-0)

m=10/4

m= 5/2

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nfft

Step-by-step explanation:

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Step-by-step explanation:

I’m not an expert but I think it might be 43 goes with 430 430 goes with 0.43 and 4.3 goes with 43 and 4300 goes with 43

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A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions o
mr_godi [17]

Given:

  • A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

\\

❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

\\

To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

\\

\:  \:  \:  \:  \:  \:  \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)}  = Length \times width }}}}} \\  \\

\\

\underline {\sf{Substituting  \: the \: values~ in~ above~formula: }} \\

\\

:  \implies \sf \:x \times (x - 5) = 126  \\  \\ \\ :  \implies \sf \:x^2 - 5x = 126  \\  \\ \\  :  \implies \sf \:x^2 - 5x - 126 = 0 \\  \\ \\ :  \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\  \\ \\ :  \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\  \\ \\  :  \implies \sf \:(x - 14)(x - 9) = 0 \\  \\ \\  :  \implies { \boxed { \purple{\pmb { \: x = 14 \:   \: or  \: \:  x = -9}}} } \\  \\  \\

  • We know that side can't be negative. So, x = 14 feet

Hence,

  • Width of rectangle = x - 5 = 9 feet
  • Length of rectangle = x = 14 feet

\\

\\ { \underline{ \pmb{ \frak{\therefore Dimensions \:  of  \: rectangle  \: are  \: 9~ feet \:  and  \: 14 ~feet \: }}}}

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3 years ago
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Which of the following statements would guarantee that lines a and b are
Blizzard [7]

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

Angles 1 and 5 are corresponding. When they are congruent, the lines are parallel. The correct answer choice is marked.

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