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Andrei [34K]
3 years ago
15

If both pairs of opposite angles of a quadrilateral are supplemental then the quadrilateral is a parallelogram

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. BRAINLIEST LOL :)

Step-by-step explanation:

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Find the distance between the points (-3, 11) and (5, 5).
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Formula for distance between two points:

d  = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

d = √((x₂-x₁)² + (y₂-y₁)²)

   = √((5- -3)² + (5-11)²)

   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²)          8² = 8*8 = 64, (-6)² = -6*-6 = 36

   = √(64 + 36)

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4 0
4 years ago
How much would $200 invested at 4% interest compounded every 6 months be worth after 5 years?
Katena32 [7]

200 x 4/100=8

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The first Portuguese explorer to lay claim to Brazil was
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Step-by-step explanation:

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I don't know about the first one but for the second one:

{2}^{3x + 2}  -  {2}^{3x}  = 48 \\ \Leftrightarrow {2}^{3x}  {2}^{2}  -  {2}^{3x}  = 48 \\ \Leftrightarrow  {2}^{3x} ( 4  - 1) = 48 \\ \Leftrightarrow 3 \times  {2}^{3x}  = 48 \\ \Leftrightarrow  {2}^{3x}  = 16 \\ \Leftrightarrow  {2}^{3x}  =  {2}^{4}  \\ \Leftrightarrow 3x = 4\Leftrightarrow x =  \frac{4}{3}

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3 years ago
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