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postnew [5]
2 years ago
13

Each pair of figure is similar. Find the missing length

Mathematics
2 answers:
ExtremeBDS [4]2 years ago
7 0

can you give more detail?

LekaFEV [45]2 years ago
5 0
^^^ need more info an answer
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Help! Need this done quickly! picture is upside down so please flip your screen! sorry! ​
iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

A=l^2 where l is the side length

Plug in the given area 121 in.²

121=l^2

Take the square root of both sides

\sqrt{121} = \sqrt{l^2} \\11=l

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

P=4l where l is the side length

P=4(11)\\P=44

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

P=2(l+w) where l is the length and w is the width

Plug in 3x and x-2 as the length and width

P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)

Plug in the perimeter 44 in.

44=2(4x-2)

Expand the parentheses

44=8x-4

Add 4 to both sides to isolate 8x

44+4=8x-4+4\\48=8x

Divide both sides by 8 to isolate x

\frac{48}{8}=\frac{8x}{8}  \\6=x

Therefore, the value of x is 6.

I hope this helps!

4 0
3 years ago
The ratio of boys to girls in 8th grade at ESHS is 5:3. Calculate the number of boys if there are 210 girls. What is the total n
frosja888 [35]

Answer:

350

Step-by-step explanation:

If there are 210 girls, then the number of boys is (210÷3)x7=350.

5 0
3 years ago
Read 2 more answers
3x + y = 5<br><br> 2x - 2y = -2
Vesnalui [34]

Answer:

Solving the system of equations:

x: 1

y: 2

Step-by-step explanation:

Plug it in to see if it is right, to make sure of course.  Better to be safe than sorry.

7 0
2 years ago
Read 2 more answers
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62,000, with annual raises of 2,000. How many years, y,
bekas [8.4K]
55,000 + 2,500x = 62,000 + 2,000x

subtract 55,000 from both sides
2,500x = 7,000 + 2,000x

now subtract 2,000x from both sides

500x = 7,000
x= 14 years
8 0
3 years ago
Which is the initial value that shrinks an exponential growth function by 50%?
ValentinkaMS [17]
Suppose that the exponential growth function is  y = 4^x.

If x = 1, then y = 4^1 = 4.
If x = 3, then y = 4^3 = 64.

Let the initial value be 1/2.

The growth function is now y = 1/2 * 4^x.

If x =1, then y = 2 which is half of the y value before adding the 1/2.

If x = 3, then y = 1/2 * 64 = 32.

Answer: 1/2
7 0
3 years ago
Read 2 more answers
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