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Liono4ka [1.6K]
3 years ago
13

381 1/10 - 214 43/100

Mathematics
2 answers:
kkurt [141]3 years ago
8 0
The answer is 166 67/ 100
Bas_tet [7]3 years ago
7 0
381 1/10- 214 43/100= 166 67/100
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80 units²

Step-by-step explanation:

Given <u>vertices</u> of a rectangle:

  • A = (-8, 5)
  • B = (2, 5)
  • C = (2, -3)
  • D = (-8, -3)

As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}

Therefore:

\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}

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2 years ago
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Two supplementary angles. One angle is 35 more than the second angle, find the measure of the second angle. The measure of the s
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Answer: 72.5 degrees

Step-by-step explanation: Call smaller angle x, so larger angle is x+35, so 2x+35=180, subtract 35 from both sides, 2x=145, so x=72.5! I hope this helps you

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3 years ago
What is the slope of the line y-7=8(x-14)
My name is Ann [436]

Answer:

The slope in point-slope form is the coefficient of the x term so the answer is 8.

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