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baherus [9]
3 years ago
11

If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are con

gruent.
The diameter is twice as long as the chord.
The chord is bisected.
The diameter is bisected.
Mathematics
2 answers:
yarga [219]3 years ago
8 0

Answer:

The chord is bisected ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

 circumference of the circle

- A diameter of a circle is a chord passes through the center of the

 circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

 to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

∵ Any line passes through the center of the circle and perpendicular

  to a chord on the circle bisects it

∴ The diameter bisects the chord

* The chord is bisected

Lilit [14]3 years ago
7 0

Answer:

c. the cord is bisected

Step-by-step explanation:

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m<AEC = 105

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julsineya [31]

9514 1404 393

Answer:

  • adult: $7
  • student: $10

Step-by-step explanation:

Let a and s represent the prices of adult and student tickets, respectively.

  13a +12s = 211 . . . . . . ticket sales the first day

  5a +3s = 65 . . . . . . . ticket sales the second day

Subtracting the first equation from 4 times the second gives ...

  4(5a +3s) -(13a +12s) = 4(65) -(211)

  7a = 49 . . . . . . . simplify

  a = 7 . . . . . . . divide by 7

  5(7) +3s = 65 . . . . substitute into the second equation

  3s = 30 . . . . . . . subtract 35

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The price of one adult ticket is $7; the price of one student ticket is $10.

7 0
3 years ago
Draw a rectangle with an area of 12 centimeters and a perimeter of 16 centimeters
lidiya [134]
All I can tell you is 12x16=192
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Answer:

x = 1/3

Step-by-step explanation:

f(x) = -3x^2 + 2x-17

This is in the form

ax^2 +bx+c

a = -3  b = 2  c = -17

The axis of symmetry is at

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x = -2/-6

x = 1/3

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