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3 years ago

Write a biconditional statement to define the term parallelogram

1 answer:

6 0

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

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The Slope of whats graphed

Bumek [7]

Answer:

Slope: 1/3

Step-by-step explanation:

y = 1/3 x - 2

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4 years ago

What is the proportion?

dolphi86 [110]

Answer:

When two ratios are equivalent and show the same value

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3 years ago

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

AfilCa [17]

Answer:

Step-by-step explanation:

The Pythagorean Theorem:

$x^2+y^2=z^2$

where x and y are two legs, and z is the hypotenuse

Plugging this in, we have

$40^2 + 9^2 = 1681\\\sqrt{1681}=41$

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3 years ago

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A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l

Vinil7 [7]

Answer:

$\boxed{\text{12 h 20 min}}$

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

$S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}$

$\begin{array}{rcl}S_{8}& = & \dfrac{8(75 +110)}{2}\\& = & 4 \times 185\\& = & \text{740 min}\\& = & \textbf{12 h 20 min}\\\end{array}\\\text{The total length of all eight movies is }\boxed{\textbf{12 h 20 min}}$

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4 years ago

Simplify (-6) = 3.<br> 2<br> -2<br> -3<br> -18

docker41 [41]

Answer:

Simplify (-6) = 3 would be false.

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4 years ago

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