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Igoryamba
2 years ago
13

HELP MATH GEOMETRY!!!! I DO NOT KNOW WHAT TO DO!!!

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

Answer:

segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle

Step-by-step explanation:

* Let's revise some facts in the circle- If a circle is circumscribed around a triangle, then the vertices of the triangle divide the circle into three arcs- The three sides of the triangle are the chords of the circle,

Each chord in the circle is subtended by an arc-

If two arcs are equal, then they are subtended as equal chords*

Let's solve the problem,

Circumscribed circle D around triangle ABC,

The vertices of triangle ABC lie on the circumference of the circle AB, BC, AC are the chords of the circle,

Arcs AB and AC are congruent,

Arc AB ≅ arc AC, Arc AB subtended the chord AB, Arc AC subtended the chord AC, AB = AC, AB = 6 inches, AC = 6 inches,

The triangle with two equal sides is called an isosceles triangle, Δ ABC is an isosceles triangle,

Noah knows that the top layer of his cake is an isosceles triangle* segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle.

segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle ⇒ answer D.

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The next step to complete the construction will connect the in-center to one of the sides of the triangle.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

Samuel is trying to construct the inscribed circle of a triangle.

Using the angle bisectors to find the in-center.

Where two angles bisector meets, the point called in-center.

Next step will be: connect the in-center to one of the sides of the triangle.

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Step-by-step explanation:

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3 years ago
The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions o
Sati [7]

Answer: width = 21, length = 47

<u>Step-by-step explanation:</u>

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w    <em>substituted the given values above</em>

136 = 4w + 10 + 2w       <em>distributed 2 on the right side</em>

136 = 6w + 10                <em>added like terms (4w and 2w)</em>

126 = 6w                       <em>subtracted 10 from both sides</em>

 21 = w                          <em>divided both sides by 6</em>

Length (L) = 2w + 5

                 = 2(21) + 5

                 = 42 + 5

                  = 47

7 0
3 years ago
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