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abruzzese [7]
3 years ago
9

Find the perimeter of a quadrilateral with vertices at R (-2, 1), S (-5, 5), T (2, 5), U (5, 1). Round your answer to the neares

t hundredth when necessary. (5 points)
22 units

24 units

28 units

36 units

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0
Check the picture below.

now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.

so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad 
R(\stackrel{x_2}{-5}~,~\stackrel{y_2}{5})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
SR=\sqrt{[-5-(-2)]^2+[5-1]^2}\implies SR=\sqrt{(-5+2)^2+(5-1)^2}
\\\\\\
SR=\sqrt{(-3)^2+4^2}\implies SR=\sqrt{25}\implies SR=5

sum all segments up, and that's perimeter.

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Anyone help me pls :(
Elis [28]

Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

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