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tangare [24]
3 years ago
14

HELP 10 POINTS and brainliest! What is the value of X? △MAH∼△WCF .

Mathematics
1 answer:
german3 years ago
4 0
The value of x is 23.

Simply find the scale factor or what was used to dilate △MAH to produce △WCF.

Use the equation copy over the original,

k = \frac{c}{o} = \frac{15.5}{62}

Reduce,

\frac{15.5}{62} = \frac{1}{4} = 0.25

So our scale factor is ¼ or 0.25

So if we use it and multiply the corresponding side of the missing side with the original we get,

92 \times \frac{1}{4} = 23

Therefore 23 is our missing side! !

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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Zanzabum

Answer:

See Explanation

Step-by-step explanation:

Now;

From;

P=Poe^kt

Where;

P = population at time=t

Po = population initially present

k = growth rate

t = time taken

a) The function is;

P= 112,000e^0.04t

b) In the year 2004, the population will be

P= 112,000e^0.04(6)

P= 142380

c) 200,000 =112,000 e^0.04t

200,000/112,000 =  e^0.04t

1.786 = e^0.04t

ln 1.786 = ln e^0.04t

ln 1.786= 0.04t

t = ln 1.786/0.04

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2 years ago
An object was launched off the top of a building. The function f(x)=-16x^2+16x+672 represents the height of the object above the
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Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

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2 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.17 before the discount, and
vredina [299]

Answer:

$ 93.804 or $93.80 after rounding.

Step-by-step explanation:

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atroni [7]
420 Is The answer If it increases by 5%
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How to simplify the square root of 3 over the square root of 21
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3 * 7 = 21, so

\sqrt{21}=\sqrt{3\cdot7}=\sqrt3\sqrt7

Then

\dfrac{\sqrt3}{\sqrt{21}}=\dfrac1{\sqrt7}

and you can rationalize the denominator to write this as

\dfrac1{\sqrt7}\cdot\dfrac{\sqrt7}{\sqrt7}=\dfrac{\sqrt7}7

7 0
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