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PIT_PIT [208]
3 years ago
15

8X - 35 = 7(1 + 2X)​

Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer: x=-7

Step-by-step explanation:

8X - 35 = 7(1 + 2X)​

8x - 35 = 7 + 14x

-6x - 35 = 7

-6x = 42

X = -7

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Answer:

Given points

  • A = (2, 1)
  • B = (4, 3)
  • C = (5, 3)
  • D = (6, 1)

<h3><u>Part (a)</u></h3>

See attached

<h3><u>Part (b)</u></h3>

Trapezoid

<h3><u>Part (c)</u></h3>

To dilate ABCD with a dilation center at (0,0) and a dilation factor of 4, multiply the x and y coordinates of ABCD by sf 4:

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<h3><u>Part (d)</u></h3>

<u />\begin{aligned}\textsf{Area of Trapezoid}& =\dfrac{1}{2}(a+b)h\\\implies \textsf{Area of A'B'C'D'}& =\dfrac{1}{2}((x_{D'}-x_{A'})+(x_{C'}-x_{B'}))(y_{B'}-y_{A'})\\& = \dfrac{1}{2}((24-8)+(20-16))(12-4)\\& = \dfrac{1}{2}(20)(8)\\& = 80\: \sf units^2\end{aligned}

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