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VARVARA [1.3K]
3 years ago
7

Find the measure of the arc or angle indicated.

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Let solve for x

110 + 16x - 6 + 12x + 4

28x  + 108  = 360

28x = 252

x = 9

Angle F is a inscribed angle that is intercepted by arc HG so

Angle F is half of Arc HG

Arc HG=

16(9)  - 6 = 138

so Angle F is

\frac{138}{2}  = 69

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Find the length of side x simplest radical form with a rational denominator
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Answer:

The length of x in the simplest radical form with a rational denominator will be:      

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Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

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adjacent of 60° = x

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so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

cos Ф = adjacent / hypotenuse

so

cos\:60^{\circ }\:=\:\frac{x}{5}

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switch sides

         \frac{x}{5}=\frac{\sqrt{3}}{2}

Multiply both sides by 5

         \frac{5x}{5}=\frac{5\sqrt{3}}{2}

Simplify

         x=\frac{5\sqrt{3}}{2}

Therefore, the length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}
5 0
3 years ago
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link:   https://gmatclub.com/forum/how-many-five-digit-numbers-can-be-formed-using-digits-91597.html#:~:text=If%200%20is%20included%3A,numbers%20possible%20with%20this%20set.

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Read 2 more answers
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