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3 years ago

What’s a good definition of a central angle using inscribed angle in it?

1 answer:

8 0

In summary, the central angle in a circle is the angle formed by two radius lines. An inscribed angle is the angle formed by points on the circle's circumference. There are a few key things to know about central and inscribed angles.

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Perform the operation and write the answer in the simplest form....

Stels [109]

For dividing fractions you should always use the KCF method: Keep Change Flip
6/10 divided by 12/7
Kcf method:
6/10*7/12= 42/120
42/120 in simplest form will be 7/20
So the answer is A

4 0

2 years ago

Read 2 more answers

Evaluate the expression for x = 3, y=13 , and z = 5.

hoa [83]

Answer:

-437

Step-by-step explanation:

x=3,y=13,z=5

12x-3y4x-z

12(3)-3(13)(4)(3)-5

36-468-5

-437

5 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

Solve the inequality -24<×-3-8×

Vesna [10]

In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x
-21 < -7x
-21/-7 <x
3 <x
x>3

The answer is D.×>3

7 0

2 years ago

What is the volume of the box

aalyn [17]

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

5 0

2 years ago