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OLga [1]
3 years ago
12

Circle M is shown. Line segments J L and H K are diameters that intersect at center point M. Angle K M L is 25 degrees.

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

Arc(JH) = 0.44r

Step-by-step explanation:

In this question radius of the circle is not given.

Given information: Line segments J L and H K are diameters that intersect at center point M, m∠KML = 25°.

Using given information draw a diagram as shown below.

From the below figure it is clear that ∠KML and ∠JMH are vertically opposite angles.

If two lines intersect each other then vertically opposite angles are equal.

m\angle KML=n\angle JMH=25^{circ}

Let the radius of the circle M is r.

The formula for arc length is

s=2\pi r(\frac{\theta}{360})

where, r is radius of the circle and θ in degree.

Acr(JH)=2\pi r(\frac{25}{360})

Acr(JH)=0.436332313r

Acr(JH)\approx 0.44r

Note: If the value of r is given, then substitute the value of r in the above equation and round to the nearest tenth of a centimeter.

Therefore, the length of arc (JH) is 0.44r.

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
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  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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