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3 years ago

The heights of two similar parallelograms are 16 inches and 20 inches. Their

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer: $x=\dfrac{25}{21}$

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, $\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}$

$\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}$

Hence, $x=\dfrac{25}{21}$

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pedro has 6 packs of gum with p pieces in each pack he had a total of 72 pieces of gum decide whether each equation represents t

Serga [27]

Answer:

$6p = 72$ --- The equation

The solution is 12 packs i.e. p = 12

Step-by-step explanation:

No options given. So, I will solve generally.

Given

$Packs = 6$

$Quantity = p$ per pack

$Total = 72$

Required

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$Packs * Quantity = Total$

$6 * p = 72$

$6p = 72$

Divide both sides by 6

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3 years ago

Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation

Bingel [31]

Answer:

Step-by-step explanation:

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3 years ago

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grin007 [14]

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3 years ago

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kupik [55]

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3 years ago

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An aircraft flew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is

Yakvenalex [24]

Answer:

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

Step-by-step explanation:

Given:

Time taken with wind = 5 hour

Time taken against wind = 6 hour

Assume;

Speed of wind = s

So,

Speed of Plane with wind = (260 + s) miles per hour

Speed of Plane against wind = (260 - s) miles per hour

Distance = speed x time

So,

(260 + s)5 = (260 - s)6

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s = 23.63 miles per hour

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Plane speed in still air = 260 miles per hour

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3 years ago