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dedylja [7]
1 year ago
10

A is center of one circle and C is the center of the other circle. Select all line segments that must have the same length as se

gment AB

Mathematics
1 answer:
Dominik [7]1 year ago
3 0

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

  1. Segment BC.
  2. Segment CD.

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

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

<h3>The equation of a circle.</h3>

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

  • h and k represents the coordinates at the center.
  • r represents the radius of a circle.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

  1. Segment BC.
  2. Segment CD.

Read more on line segment here: brainly.com/question/18315903

#SPJ1

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X=(y)/(y-3) make y the subject
Liula [17]

Answer:

\displaystyle y=\frac{3x}{x-1}

Step-by-step explanation:

<u>Solving Equations</u>

We have the expression:

\displaystyle x=\frac{y}{y-3}

And it's required to make y the subject.

It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.

The first step is removing the denominator by multiplying both sides by y-3:

\displaystyle (y-3)x=(y-3)\frac{y}{y-3}

Simplifying the right side:

\displaystyle (y-3)x=y

Remove the parentheses:

yx-3x=y

Move the y's to the left side and the rest of the expression to the right side:

yx-y=3x

Factor out y:

y(x-1)=3x

Divide by x-1:

\mathbf{\displaystyle y=\frac{3x}{x-1}}

7 0
3 years ago
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
AVprozaik [17]

Answer: 130 kg 920 g

Step-by-step explanation:

Given

The weight of the goat is 59 kg  720 g

The combined weight of goat and cow is 190 kg 640 g

Suppose, the weight of the cow is x kg

We know, 1 kg=1000 g

Converting weight into kg

Goat weight

=59+0.720\\=59.720\ kg

Total weight

=190+0.640\\=190.640\ kg

Then, the cow weight is given by

\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g

7 0
2 years ago
Write the following sets in set-builder notation: (a) The set of all humans whose first name is Tanya or Nelson.
Ulleksa [173]

Answer:

Step-by-step explanation:

Set is a well defined collection of objects .

We can express set in roaster form or set - builder form

<u>Roaster Form</u>

We express elements within curly brackets using commas between the elements .

<u>Set Builder Form</u>

In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .

We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .

(a)The set of all humans whose first name is Tanya or Nelson

We need to write this one in set builder form .

Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }

5 0
3 years ago
A savings account compounds interest, at a rate of 17%, once a year. John puts $1,000 in the account as the principal. How can J
Nimfa-mama [501]
#3
A(x) = 1000(1+.17)x

because the 17 percent would have to be changed to a decimal form
5 0
3 years ago
Read 2 more answers
How much grain can this container hold?
ludmilkaskok [199]

Answer:

953.78 in^3 of grain.

Step-by-step explanation:

The volume of a cylinder = π r^2 h.

For this cylinder r =  radius of the base = 9/2

= 4.5 in  and the height h = 15 in

So the volume is 3.14 * 4.5^2 * 15

= 953.78 in^3.

8 0
3 years ago
Read 2 more answers
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