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4 years ago

Points C and D divide the semicircle into three equal parts. Match the angles with their measures.

Mathematics

2 answers:

Tresset [83]4 years ago

7 0

∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°

We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).

Since it forms a straight line, ∠BAE is 180°.

Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.

We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.

USPshnik [31]4 years ago

6 0

If this person is correct then it should look like this if you have Plato

your welcome ;0 =)

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Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.

bearhunter [10]

Answer:

<em>The distance from the point to the line is approximately 3.2 units</em>

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

$\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

$\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}$

$\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}$

$\displaystyle d= \frac{|10|}{\sqrt{10}}$

$\displaystyle d= \frac{10}{\sqrt{10}}$

$d\approx 3.2$

The distance from the point to the line is approximately 3.2 units

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3 years ago

A tool used to measure small distances and lengths.

scoray [572]

Ruler

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3 years ago

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Sindrei [870]

I am presuming that the question is who won or by how much did the winner win.

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The tortoise won by 5. 28 seconds (160-154.72)

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4 years ago

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Maru [420]

Answer:

Step-by-step explanation:

4×4=16

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3 years ago

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Answer:

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