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3 years ago

I need help with Geometry

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer:

x=2, mn=ol=7

Step-by-step explanation:

by definition of a parallelogram we can see that the 2 lines are equal and therefore x+5=2x+3 which we can solve and get x=2. We can put the x=2 back into either line to solve since the 2 lines have equal length. Done!

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Which of the following is characteristic of an epic hero?

jenyasd209 [6]

An epic hero must be most couragous than an actual oerson because that is what makes them brave and it gives them the ablitiy to fight

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4 years ago

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What are the next three terms in the sequence 4,8,12,16?

Mariana [72]

Answer:

20,24,28

Step-by-step explanation:

It is increasing by 4 each time

Mark me brainliest please :)

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3 years ago

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An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

12. A flat, square roof needs a square patch in the corner to seal a leak. The side length of

NISA [10]

Answer:

Step-by-step explanation:

Area of the good part= area of whole roof - area of bad part

Since the roof is a square roof, the area will be calculated using the formulae for area of a square

Area of a square =length²

Area of good part =(x+12)²-x²

A= {(x+12)(x+12)} - x²

A = (x²+12x+12x+144) -x²

Open the bracket and rearrange the equation

A= x²-x²+24x+144

A=(24x+144) ft

5 0

3 years ago

Please answer the attached question by selecting of the the given answers.

Alchen [17]

Answer:

The correct answer is option A. Base = 11 cm and height = 13 cm

Step-by-step explanation:

It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²

<u>To find the base an d height of original triangle</u>

Let x be the original base 'b' then the height h = x + 2

New height h = x + 2 + 2 = x + 4

Area = bh/2

82.5= (x(x + 4)/2

165 = x² + 4x

x + 4x - 165 = 0

Solving we get x = 11 and x = -15

Take positive value x = 11

Therefore base = 11 and height = x + 2 = 13 cm

The correct answer is option A. Base = 11 cm and height = 13 cm

5 0

3 years ago