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4 years ago

In circle K, what is the value of x?

Mathematics

1 answer:

djyliett [7]4 years ago

8 0

Answer:

18°

Step-by-step explanation:

A diameter cuts a circle into two arcs that are each 180°. An inscribed angle that intercepts an arc of 180° has a measure of 90°. Thus we have ...

... 5x = 90°

.. 90°/5 = x = 18°

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Please help, Brainliest if correct!!!

Lubov Fominskaja [6]

See the attached pic below

In the triangle formed by the statue and the boat, we have

$\tan23^\circ=\dfrac x{110+y}$

and

$\tan38^\circ50'=\dfrac xy$

We can solve either equation for $y$ , then substitute that into the other equation. First, let's abbreviate $t_1=\tan23^\circ$ and $t_2=\tan38^\circ50'$ . Then

$y=\dfrac x{t_2}$

$\implies t_1=\dfrac x{110+\frac x{t_2}}$

$\implies\dfrac{t_1}{t_2}=\dfrac x{110t_2+x}$

$\implies(110t_2+x)\dfrac{t_1}{t_2}=x$

$\implies110t_1=\left(1-\dfrac{t_1}{t_2}\right)x$

$\implies x=\dfrac{110t_1}{1-\frac{t_1}{t_2}}=\dfrac{110t_1t_2}{t_2-t_1}$

$\implies\boxed{x\approx99}$

7 0

4 years ago

Help I need to pass this

enot [183]

Answer:

bottom right hand corner is false

Step-by-step explanation:

Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure

3 0

3 years ago

A square and a rectangle have equal areas. The length of the rectangle is twice the length of the side of the square. The width

skelet666 [1.2K]

Answer:

4 cm

Step-by-step explanation:

x^2 = bh

b = 2x

h = x-2

x^2 = (2x)(x-2)

4^2=[2(4)][4-2]

16 = 16

3 0

3 years ago

It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hour

Mars2501 [29]

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego $\frac{1}{8}$ of an hour to complete the lap = $\frac{1}{8}$ x 1 hour = $\frac{1}{8}$ hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = $\frac{distance}{time taken}$

= $\frac{1}{\frac{1}{8} }$

= 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

5 0

3 years ago

In terms of the scientific method, the purpose of an experiment is

sergey [27]

Hey there! :D

In terms of the scientific method, the purpose of an experiment is:

to collect data.

The experiment helps to collect data and to determine whether the hypothesis is true or invalid.

I hope this helps!
~kaikers

8 0

3 years ago