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enyata [817]
2 years ago
13

An angle that is one half its arc is a/n

Mathematics
1 answer:
Oxana [17]2 years ago
4 0
The answer is inscribed


The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.
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In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.
Blizzard [7]

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} * b* h

A = \frac{1}{2} × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

<em>Hope it helps!</em>

5 0
1 year ago
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Step-by-step explanation:

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Which phrase should be inserted in the line to correctly compare the two fractions? use the models for help.
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Step-by-step explanation:

8 0
3 years ago
Answer and how to do it
ollegr [7]

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

6 0
3 years ago
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