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Ira Lisetskai [31]
3 years ago
8

X =A. 3B. 7C. 1(Special Segments)

Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Option A:

x = 3

Solution:

Special segments in a circle:

<em>If two secant segments are drawn to a circle from a exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.</em>

⇒ 9 × 4 = x × 12

⇒ 36 = 12x

Divide by 12 on both sides, we get

⇒ 3 = x

Switch the sides of the equation.

⇒ x = 3

The value of x is 3.

Hence option A is the correct answer.

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If x varies directly as p, and x=48 when p=8, find x when p is 15.
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<h3>Answer:</h3>

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3 years ago
Which method is valid for proving that two circles are similar?
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First:

a. ratio of the diameter to the radius
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b.  the degrees of the circle is always 360, the circumference is the distance around the circle, so that would be a good indicator since 360 is constant, but the circumference can change, and if they are the same, then the circles are similar. so B is the right answer

c.  Ratio of area to circumference. area=pir^2, and circumference=2pir
this is a good indicator becuase the ratio of the area and the circumference is different for every circle so c is the right answer

D.  the ratio of the diameter to the circumference  diameter=2r circumference=2pir
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this is not a good indicator so this is not the right answer


The answers are B and D, but if the teacher asks for only one, then I would pick c
3 0
3 years ago
The shorter side of a trapezoid is equal to its height, and the longer side is 3/2 times as long. If the area is 80, find the le
lara31 [8.8K]

Answer:

  8

Step-by-step explanation:

Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.

The area formula for a trapezoid is ...

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Filling in the given values, we have ...

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  64 = s² . . . . . . . . . . . . . . . . . . . multiply by 4/5

  8 = s . . . . . . . . . . . . . . . . . . . . . take the square root

The length of the shorter side is 8.

4 0
3 years ago
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