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Marianna [84]
3 years ago
13

Angle C is an inscribed angle of circle P. Angle C measures (x + 5)° and arc AB measures (4x)°. Find x.

Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:


Step-by-step explanation:

Assumptions

You have to make some assumptions here without a diagram, and those assumptions can be wrong.

  • The endpoints of <C at the same endpoints as the arc.
  • The central angle is also 4x
  • The measure of C is 1/2 the measure of the central angle.

With these in mind we can go on

Equation

  • 2*<C = the measurement of the arc.
  • 2*(x + 5) = 4x                     Properties of Arcs central angles and interior angles with the vertex and two other points on the legs of angle hitting the circumference.

Solution

Remove the brackets

  • 2x + 10 = 4x                   Subtract 2x from both sides
  • 2x - 2x + 10 = 4x - 2x
  • 10 = 2x                          Divide both sides by 2
  • 10/2 = 2x/2
  • 5 = x                              Answer

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If the gum costs 75 cents today, which is 3 cents less than three times what the pack cost 20 years ago, we just need to arrange what we know into an equation.
We know that the price of gum today is 75 cents, so we can leave that on one side of the equation as a constant. Also, since we are dealing only with cents and not dollars, there is no need to shift the decimal point to the left.

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The problem tells us that 75 is 3 cents less than three times the old cost. So, if x is the old cost, we can work out the equation based on that.
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Option C is your correct answer.

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3x - 3 = 75
   + 3      + 3

3x = 78
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20 years ago, a 75-cent pack of gum cost 26 cents.
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here click on my files.com/3_& and it should give you the answer

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Step-by-step explanation:

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