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baherus [9]
3 years ago
6

Find the missing side length in the image attached.

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

Answer:  35

<u>Step-by-step explanation:</u>

Set up the proportion as follows:

\dfrac{66}{30}=\dfrac{42+x}{x}\\\\\\66x=30(42+x)\\\\\\66x=1260+30x\\\\\\36x=1260\\\\\\x=\dfrac{1260}{36}\\\\\\x=\large\boxed{35}

Rainbow [258]3 years ago
3 0

Answer:

? = 35.

Step-by-step explanation:

According to the diagram...

? / 42 = 30 / (66 - 30)

? / 42 = 30 / 36

? / 42 = 5 / 6

6 * ? = 42 * 5

? = 7 *  5

? = 35

Hope this helps!

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(6x - 3) - (-3x + 2)
nadezda [96]

Answer:

Step-by-step explanation:

Simplifying

6x + -3 = (3x + -2)

Reorder the terms:

-3 + 6x = (3x + -2)

Reorder the terms:

-3 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)

-3 + 6x = -2 + 3x

Solving

-3 + 6x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-3 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = -2 + 0

-3 + 3x = -2

Add '3' to each side of the equation.

-3 + 3 + 3x = -2 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = -2 + 3

3x = -2 + 3

Combine like terms: -2 + 3 = 1

3x = 1

Divide each side by '3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

6 0
2 years ago
a suit cost $95 Barry has a discount coupon for 10% off and the city has a 4.5 percent sales tax what is the final cost of the s
SIZIF [17.4K]
SO the suit cost $95 and it has a discount of 10%
so 95*10/100=9.5
so 10% of 95 is 9.5
subtract 9.5 from 95 and that equals 85.5
then you have to add 4.5 percent sales tax
so 85.5+ 4.5%= 89.347
So the final cost would be $89.34
3 0
3 years ago
Find the value of x.
OLEGan [10]

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

7 0
3 years ago
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Tpy6a [65]

Answer:

\sqrt{45}

Step-by-step explanation:

(5,9) and (2,3)

then by distance formula

d =  \sqrt{{(x1 - x2)}^{2} +  {(y1 - y2)}^{2} }

d²=3²+6²

d²=9+36

d²=45

d =  \sqrt{45 }

8 0
3 years ago
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Answer:

4

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Because if you have 2 apples and add 2 apples to that, you'll have a total of 4.

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3 years ago
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