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Bumek [7]
3 years ago
10

George is given two circles, circle O and circle X 1 as shown. If he wants to prove that the two circles are similar, what would

be the correct first step in his proof? Given: The radius of circle Oisrand the radius of circle Xis Prove: Circle similar to circle X.

Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Given: The radius of circle O is r, and the radius of circle X is r'.

To prove: Circle O is similar to circle X.

Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.

A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.

The scale factor x to increase X:

⇒

A translation followed by a dilation with scale factor  will map one circle to the other, thus proving the given both circles similar.

Therefore, circle O is similar to circle X.

Step-by-step explanation:

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vivado [14]
The answer is A. .3 because do find the percent from a decimal you need to move the decimal point two to the right, so in this case it will be 30 or 30%
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Jim rented a truck for one day. There was a base fee of $18.95 , and there was an additional charge of 78 cents for each mile dr
erastovalidia [21]

18 - 15.95 = 2.05

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5 0
3 years ago
One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number a
STatiana [176]

Answer:

62

Step-by-step explanation:

well, we start by expressing the number:

a b

we understand that using the above expression, the value of the number is 10a + b

using the information in the question,

a = 3b (1)

and,

11b + 11a = 88 (2) (derived using 10a + b form)

hence, when substituting (1) into (2):

11b + 33b = 88

44b = 88

b = 2 (3)

sub (3) into (1)

a = 6

hence, the number is 62

3 0
2 years ago
You need to purchase rolls of sod grass for a client's lawn, which is 75 feet by 100 feet. The large rolls of sod grass are 116
Nikolay [14]

The number of sod grasses needed is about one and half for the clients lawn

1 1/2 sod grasses

<h3> Area of Rectangle</h3>

Given Data

  • Size of clients Lawn
  • Length = 75 feet
  • Width = 100 feet

Area of client's Lawn = Length * Width

= 75*100

= 7500 square feet

Size of large rolls of sod grass

  • Length = 116 feet
  • Width = 42 feet

Area of large rolls of sod grass  = Length * Width

= 116*42

= 4872 square feet

The number of sod grass needed

= 7500/4872

= 1.53

Learn more about rectangles here

brainly.com/question/25292087

4 0
2 years ago
Can someone help me im confused....PLZZZZ
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

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perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in

perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in

Equating the two gives

10x - 6 = 24 ( add 6 to both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Thus

length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in

Width of rectangle B = x = 3 in

5 0
3 years ago
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