3 years ago

What is the most preside classification of the quadrilateral formed by connecting the midpoints of the sides of a square?

Mathematics

1 answer:

vampirchik [111]3 years ago

8 0

The answer is a square

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Step-by-step explanation:

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3 years ago

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Effectus [21]

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Step-by-step explanation:

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3 years ago

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The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.

Andrej [43]

Answer:

x = 348

Step-by-step explanation:

The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.

0.15x + 65 + 0.1x + 28 = 180

0.25x + 93 = 180

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2 years ago

Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

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Ruby worked 22 hours

Isaac worked 16 hours

Svetlana worked 88 hours

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3 years ago

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