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3 years ago

Find the value of x. x = [ ?1

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

$\boxed{x = 12}$

Step-by-step explanation:

By Triangles Similarity Theorem:

=> $\frac{3}{6} = \frac{6}{x}$

Cross Multiplying

=> 3 * x = 6 * 6

=> 3x = 36

Dividing both sides by 3

=> x = 12

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Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

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Step-by-step explanation:

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Answer:

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