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3 years ago

37.Where is the incenter of any given triangle ?

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

Part 1) Option The point of concurrency of the angle bisectors of the triangle

Part 2) Option A segment drawn from a vertex to the midpoint of the opposite side

Step-by-step explanation:

Part 1)

we know that

The incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle.

therefore

Is the point of concurrency of the angle bisectors of the triangle

Part 2)

we know that

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side

therefore

Is a segment drawn from a vertex to the midpoint of the opposite side

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Find the value of x so that the function has the given value.

nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

h(x) = -7x + 10; h(x) = 3

$h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x$

Dividing both sides by -7

$\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1$

r(x) = 4/5x+7; r(x) = -5

$r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15$

Keywords: Functions

Learn more about functions at:

#LearnwithBrainly

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3 years ago

Abigail is 54 inches tall. Which of the following is Abigail's height?

4vir4ik [10]

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

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Step-by-step explanation:

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3 years ago

How do you convert a fraction to a decimal?

kvv77 [185]

Divide the numinator by the demoonator

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3 years ago

Find the area A of the polygon with the given vertices.

Natalija [7]

Answer:

A = 35 square units

Step-by-step explanation:

Formula to calculate the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of the segment between A(2, 2) and B(9, 2) = $\sqrt{(9-2)^2+(2-2)^2}$

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Length of the segment between B(9, 2) and C(9, -3) = $\sqrt{(9-9)^2+(2+3)^2}$

= 5 units

Length of the segment between C(9, -3) and D(2, -3) = $\sqrt{(9-2)^2+(-3+3)^2}$

= 7 units

Length of the segment between A(2, 2) and D(2, -3) = $\sqrt{(2-2)^2+(2+3)^2}$

= 5 units

Therefore, given polygon is a rectangle.

Area of the rectangle = length × width

= 7 × 5

= 35 square units

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3 years ago

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4 years ago

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