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bulgar [2K]
1 year ago
8

Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the

circumcircle of triangle abc.
Mathematics
1 answer:
lara [203]1 year ago
7 0

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

Read more about radius

brainly.com/question/13449316

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3 years ago
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expeople1 [14]

Answer:

answer is 57.

Step-by-step explanation:

Given

m<6= x - 8

m<7 = 2x - 7

We know

<6 + <7 = 180° [ being linear pair ]

x - 8 + 2x - 7 = 180°

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3x = 180° + 15°

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x = 195° / 3

x = 65°

Now

m<6= x - 8 = 65° - 8° = 57°

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8 0
3 years ago
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are equivalent.
  • Two lines are perpendicular if their slopes are negative reciprocals of each other.
  • And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

\displaystyle 3x+4y=12

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

4y=-3x+12

And divide both sides by four:

\displaystyle y=-\frac{3}{4}x+3

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

-6x-8y=24

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

-8y=6x+24

And divide both sides by negative eight:

\displaystyle y=-\frac{3}{4}x-3

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

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3 years ago
Refer to your math writing journal file named "Lines and Angles." What real-world examples did you describe for the three ways i
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Answer:

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Step-by-step explanation:

The lines can be related in following three ways

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Now three real life examples of above three scenarios are described below:

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Answer:

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