3 years ago

M5+m2+m3=180 whays the rwason

Mathematics

1 answer:

Marta_Voda [28]3 years ago

6 0

Answer: 45

Step-by-step explanation: the fub

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Find the perimeter of the triangle defined by the coordinates (7, 1), (-6, 1), and (10, 6). (Round to nearest tenth)

matrenka [14]

Answer:

$35.6\ units$

Step-by-step explanation:

we know that

The perimeter of triangle is equal to the sum of the length of the three sides

Let

$A(7, 1), B(-6, 1), C(10, 6)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(7, 1), B(-6, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(-6-7)^{2}}$

$d=\sqrt{(0)^{2}+(-13)^{2}}$

$dAB=13\ units$

Find the distance BC

$B(-6, 1), C(10, 6)$

substitute in the formula

$d=\sqrt{(6-1)^{2}+(10+6)^{2}}$

$d=\sqrt{(5)^{2}+(16)^{2}}$

$dBC=16.8\ units$

Find the distance AC

$A(7, 1), C(10, 6)$

substitute in the formula

$d=\sqrt{(6-1)^{2}+(10-7)^{2}}$

$d=\sqrt{(5)^{2}+(3)^{2}}$

$dAC=5.8\ units$

Find the perimeter

$P=dAB+dBC+dAC$

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3 years ago

1) A regular hexagon is mapped onto itself every time it is rotated

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A regular hexagon has angles that measure 360/6=60°, between 0° and 360°, the multiples of this angle is 120°, 180°, 240°, 300°. Thus when the hexagon is rotated through this angles, it will be mapped onto itself. When rotated through any other angle, the same result won't be possible.
Thus we conclude that the hexagon it's mapped into itself every time it is rotated.

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3 years ago