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Genrish500 [490]
3 years ago
6

Sarah and Jake timed themselves while running. Who ran at a faster speed?

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

Jake

Step-by-step explanation: 176 Divided by 4 divided bye divided = 44, so Jake ran only 44 minutes therefore Sarah ran more.

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A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine w
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Answer:

The diagonals of the polygon ABCD bisect each other

Step-by-step explanation:

The given vertices of the polygon are;

A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1)

Given that the vertices of the polygon in clockwise order from the top left corner are ABCD, we have the diagonals as AC and DB

By the midpoint formula, we have;

(x_m , \ y_m) = \left (\dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right )

Where;

(x_m , \ y_m) = The midpoint coordinates

Therefore, the midpoint of diagonal AC = \left (\dfrac{1 + (-1)}{2} , \ \dfrac{4 + (-4)}{2} \right ) = (0, 0)

The midpoint  of diagonal DB = \left (\dfrac{(-4) +4}{2} , \ \dfrac{1 + (-1)}{2} \right ) = (0, 0)

Therefore, given that the coordinates of the location of the midpoint of the diagonals AC and DB is the same, the diagonals bisect each other

Each diagonal passes through the midpoint of the other diagonal.

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3 years ago
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