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Minchanka [31]
1 year ago
6

Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to triangle RST.

Mathematics
1 answer:
ikadub [295]1 year ago
6 0

Check the picture below.

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The points S, T, U and V all lie on the same line segment, in that order, such that the
Evgesh-ka [11]
<h3>Answer: TV = 10</h3>

==============================================

Explanation

Let x be some positive real number such that

  • ST = 6x
  • TU = 2x
  • UV = 3x

leading to the ratio

ST:TU:UV = 6x:2x:3x = 6:2:3

Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x

-----------------

The parts of the ratio add up to the longest segment SV

ST+TU+UV = SV

6x+2x+3x = 22

11x = 22

x = 22/11

x = 2

Therefore,

  • ST = 6x = 6*2 = 12
  • TU = 2x = 2*2 = 4
  • UV = 3x = 3*2 = 6

Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.

-----------------

The last step is to find the length of TV

TV = TU+UV

TV = 4+6

TV = 10

Or you could do

ST + TV = SV

12+TV = 22

TV = 22-12

TV = 10

8 0
3 years ago
A combination lock has four wheels in a row. Each wheel has the digits from 0 to 9 on it. How many different combinations are th
sattari [20]

Answer:

Step-by-step explanation:

a.10^4=10000

b.10×9×8×7=5040

7 0
3 years ago
The square root of 8?
Hoochie [10]

Answer:

√8 8n sure form= √ 4 ×√2

= 2×√2

= 2√2

8 0
3 years ago
My kid asked me what was 5y-3+6 i couldnt answer it because this is all new to me we didnt do this when i was younger and i need
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Answer:

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4 0
3 years ago
Read 2 more answers
Helppppppoopoppppppppp
frutty [35]

Answer:

Conversion of 25m to centimeters: 2500cm

Volume is 2500m^3 (meters cubed)

Step-by-step explanation:

25m x 100cm (that's how many are in a meter) = 2500cm

Volume Formula: length x width x height (or l x w x h)

Length: 50m

Width: 25m

Height: 2m

Therefore, the volume is...

l x w x h

= 50m x 25m x 2m

= 2500m^3

6 0
3 years ago
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