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andre [41]
3 years ago
6

Which is the correct label of the parallel lines?

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

a ∥ b

Step-by-step explanation:

The symbol "∥" means parallel lines.

Taking a look at the figure above, we have 2 parallel lines, labelled a and b.

A and B are two points on line "a", forming segment AB. However, segment AB is part of line "a".

Same applies to line "b", which has 2 points forming segment CD.

Therefore, the correct label if the parallel lines is a ∥ b

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Answer:

yes 1.6 is a solution i got u ur welcom

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3 years ago
A rectangular garden has a length that is modeled by the expression2X -7 and a width of 3X^2+4x. What is the area of the garden?
DochEvi [55]

Answer:

  • A = 6x³ - 13x² - 28x

Step-by-step explanation:

<u>Area of rectangle:</u>

  • A = lw

<u>Given:</u>

  • l = 2x - 7
  • w = 3x² + 4x

<u>The area is:</u>

A = (2x - 7)(3x² + 4x) =

   2x(3x² + 4x) - 7(3x² + 4x) =

   6x³ + 8x² - 21x² - 28x =

   6x³ - 13x² - 28x

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3 years ago
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Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice
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Given the original dimensions above which is 3ft and 4ft, the area of the painting on a canvass would be 12ft. Since Linda wants to double the area of the display model, this makes the doubled area 24ft. So in order to get this area, Linda should add 1.4 feet to both the length and the width, making the dimensions 4.4ft and 5.4ft. Multiply both and you get 23.76ft or to round it off, 24 feet. Hope this answers the question.
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4 years ago
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A vial contains 80 mg of drug in 2 mL of injection. How many milliliters of the injection should be administered to obtain 0.02
Marina CMI [18]

Answer:

0.5mL of the injection should be administered to obtain 0.02 g of the drug.

Step-by-step explanation:

First step: The first step of this problem is the conversion of 0.02g to mg.

Each gram has 1000 miligrams. So:

1g - 1000mg

0.02g - xmg

x = 1000*0.02

x = 20mg

Final step:

A vial contains 80 mg of drug in 2 mL of injection. How many mL should be administered to obtain 0.02 g = 20mg of the drug.

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, as the dose of the injection increases, so the quantity of the drug. So the relationship between the measures is direct. So:

80 mg - 2mL

20 mg - xmL

80x = 40

x = \frac{40}{80}

x = 0.5mL

0.5mL of the injection should be administered to obtain 0.02 g of the drug.

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Answer:

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Step-by-step explanation:

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