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erica [24]
3 years ago
11

Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What shou

ld be her next step in the construction?
Select one:

a. Connect vertex B to the arc markings to complete the angle bisector

b. Use a straightedge to find the angle bisectors for angles A and B

c. Connect three arc markings together to form the triangle

d. Use the arc markings to determine the radius to construct the circle

Mathematics
2 answers:
Naddik [55]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Given that Cynthia Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown in the picture

We know that in circle of any triangle has centre as the intersection of two angle bisectors of the triangle.

Hence what she started is drawing angle bisector of B.  By connecting vertex to the arc intersection, she can draw the angle bisector of B.

Continuing the same procedure for angle bisector for any other angle A or C she can find point of intersection as I incentre then draw incircle.

SO next step if option A

il63 [147K]3 years ago
5 0
I think the answer is A
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Answer:

30/52

Step-by-step explanation:

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<h2>Answer: 30/52</h2>
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2 years ago
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3 years ago
Raina's penny bank is  1/4  full. After she adds  360  pennies, it is  5/8  full. How many pennies can Raina's bank hold? ​
Triss [41]

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

4 0
2 years ago
Read 2 more answers
Find the output value of the function. f(x)=5x-8 for f(7)
Molodets [167]

Answer:

27

Step-by-step explanation:

f(x) = 5x - 8

f(7) = 5(7) - 8 = 27

3 0
3 years ago
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If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find
Evgesh-ka [11]

Answer:

The equation of the circle is (x+3)^2+(y-5)^2 = 17

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are​ known, the equation of a circle can be found.​ First, find the midpoint of the​ diameter, which is the center of the circle. Then find the​ radius, which is the distance from the center to either endpoint of the diameter. Finally use the​ center-radius form to find the equation.

Find the center-radius  form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5).

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by \sqrt[]{(a-c)^2+(b-d)^2}. So, let us use (1,4) to calculate the radius.

r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}.

REcall that given a point (x_0,y_0). The equation of a circle centered at the point (x_0,y_0) is

(x-x_0)^2+(y-y_0)^2 = r^2

In our case, (x_0,y_0)=(-3,5) and r=\sqrt[]{17}. Then, the equation is

(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17

4 0
3 years ago
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