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mylen [45]
3 years ago
7

Help please with an explanation

Mathematics
1 answer:
Bond [772]3 years ago
7 0

12x - 6 = 3x + 30

12x = 3x + 36

9x = 36

x = 4

the value of x is 4

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Ostrovityanka [42]

Answer:

1. C

2.A

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Step-by-step explanation:

First, lets start by getting all of the perimeters and volumes of the pools. For pool A, it has a volume of 18*9.75*4.5=789.75 cubic feet, and a perimeter of 18*2+9.75*2=55.5 feet. For pool B, it has a volume of 16*10*5=800 cubic feet, and a perimeter of 16*2+10*2=52 feet. For pool C, it has a volume of 15*12*4.5=810 cubic feet, and a perimeter of 15*2+12*2=54 feet. Therefore, for problems 1 and 2, Model C needs the largest amount of water to be filled, while model A needs the least. For problems 3 and 4, Model A uses the largest liner, while Model B uses the smallest one. Hope this helps!

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Answer:

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Step-by-step explanation:

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LenaWriter [7]

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Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108
mr Goodwill [35]

Answer:

Part 1) a=108^o

Part 2) b=24^o

Step-by-step explanation:

Part 1) Find the measure of angle a

we know that

The formula to calculate the measure of the interior angle of a regular polygon is equal to

\frac{180^o(n-2)}{n}

where

n is the number of sides of the regular polygon

For the regular pentagon in the figure

n=5

substitute in the formula

a=\frac{180^o(5-2)}{5}

a=\frac{180^o(3)}{5}

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Part 2) Find the measure of angle b

Remember that a regular polygon has equal sides and equal interior angles

so

In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon

therefore

The triangle in white of the figure is an isosceles triangle

The measure of the vertex angle of the isosceles triangle is equal to

360^o-(108^o+60^o+60^o)=132^o

Remember that

The sum of the interior angles of triangle must be equal to 180 degrees

so

2b+132^o=180^o

solve for b

2b=180^o-132^o

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Zepler [3.9K]

Answer:

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