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SVEN [57.7K]
3 years ago
10

The perimeter of a certain pentagon is 12.5 inches. Four sides of this pentagon have the same length, in inches, m, and the othe

r side has a length of 1.5 inches, as shown below.
Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
12.5 - 1.5 = 11
11 divide by 4 = 2.75
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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Dafna1 [17]

Answer:

  • A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

<u>Triangle ABC with coordinates of:</u>

  • A = (-3, 3), B = (1, -3), C = (-3, -3)

<u>Translation (x + 2, y + 0), coordinates will be:</u>

  • A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>

  • A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

<u>Let's find the length of AB and A''B'' using distance formula</u>

  • d = √(x2-x1)² + (y2 - y1)²
  • AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
  • A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

<u>We see that </u>

  • AB = 2A''B''

<u>Now the answer options:</u>

A. segment A double prime B double prime = segment AB over 2

  • Correct

B. segment AB = segment A double prime B double prime over 2

  • Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

  • Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

  • Incorrect. Should be A''B''/AB = 1/2
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Answer:

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Step-by-step explanation:

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saveliy_v [14]
8/24 = x / 48
cross multiply
(24)(x) = (8)(48)
24x = 384
x = 384/24
x = 16 <===
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3 years ago
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Answer:

x=4-5/3y

Step-by-step explanation:

3x+5y=12 make x on one side

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x=4-5/3y

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Answer:

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Step-by-step explanation:

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