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2 years ago

The incenter of a triangle is also the center of

Mathematics

2 answers:

bulgar [2K]2 years ago

4 0

Answer:

B. a circle inscribed inside the triangle

Step-by-step explanation:

The incenter is the center of the inscribed circle. The incenter is the intersection of angle bisectors.

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The center of mass and balance is the <em>centroid</em>, the intersection of medians.

pochemuha2 years ago

4 0

Answer:

Step-by-step explanation:

That is obtained when you split the angle of each vertex into two equal parts and trace the bisector. The intersection point is the incenter or the center of the circle inscribed inside the triangle.

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Find the value of b.

Nesterboy [21]

Answer: $230^{\circ$

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume $\overline{AB}$ and $\overline{BC}$ are tangents to the circle.

$\overline{BO} \cong \overline{BO}$ (reflexive property)
$\overline{AB} \cong \overline{BC}$ (tangents drawn from a common external point are congruent)
$\angle BAO \cong \angle BCO$ (right angles are congruent)

Therefore, we know $\triangle ABO \cong \triangle CBO$ by HL.

Thus, by CPCTC,

$\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}$

This means the measure of minor arc AC is $130^{\circ}$ , and thus $b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}$

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1 year ago

I need help with adding decimals

nasty-shy [4]

When you add the decimals it’s the same as regular adding. You line up the decimals and then add all the way across and when you get to the decimal carry it down

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2 years ago

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Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and

Montano1993 [528]

In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.

Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.

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3 years ago

Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW

krek1111 [17]

Answer:

The numerical length of UW is 27

Step-by-step explanation:

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2 years ago

Triangle XYZ is rotated 90° counterclockwise about the origin.

sergeinik [125]

Answer:

i think 42

Step-by-step explanation:

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2 years ago

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