Evaluate -2(|2|-(-3)(-4))

The perimeter of the triangle is 42. Find the length of all the sides.

iragen [17]

<h3>Given :-</h3>

Perimeter of triangle = 42

Side 1 of triangle = (x + 4)

Side 2 of triangle = (3x + 8)

Side 3 of triangle = (5x + 6)

Length of sides

<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

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$\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}$

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So:-

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$\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\$

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$\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\$

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$\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\$

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$\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\$

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$\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\$

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$\dashrightarrow \tt 42 = 9x+ 18\\$

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$\dashrightarrow \tt 42 - 18 = 9x \\$

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$\dashrightarrow \tt 24 = 9x \\$

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$\dashrightarrow \tt 9x = 24 \\$

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$\dashrightarrow \tt x = \dfrac{24}{9} \\$

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$\dashrightarrow \bf x =2.67 \{approx \}\\$

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Side 1 of triangle = (x + 4)
Side 1 of triangle =2.67 + 4
Side 1 of triangle = 6.67

Side 2 of triangle = 3x + 8
Side 2 of triangle = 3 × 6.67 + 8
Side 2 of triangle = 20.01 + 8
Side 2 of triangle = 28.01

Side 3 of triangle = 5x + 6
Side 3 of triangle = 5 × 2.67 + 6
Side 3 of triangle = 13.35 + 6
Side 3 of triangle = 19.35

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~WindyMint

3 0

2 years ago

Four subtracted from eight is equal to two squared

Scilla [17]

Yes. This is true because 4 subtracted from 8 is 8-4=4. The value you get from subtracting 4 from 8 equals the same value you would get if you were to take the value of 2 and square it. Both equal 4.

4 0

3 years ago

2.8 is 4% of what number

AnnZ [28]

70 you solve by making a proportion 2.8/x =4/100

4 0

3 years ago

Tamara took guitar lessons for 5.8 years. Then she took trumpet lessons for the next 3.4 years.

BlackZzzverrR [31]

The answer is 9.2 hope this helps

7 0

3 years ago

Read 2 more answers

The function f(x) is shown in the graph.

anzhelika [568]

The function that describes the graph is an exponential function

<h3>How to determine the function type?</h3>

From the graph, we have the following highlights:

Initially, when x increases; y seem not to increase
Then, x and y increase at the same time
Finally, y increase and x seem not to increase

The above is the description of an exponential function

Hence, the function that describes the graph is an exponential function

Read more about exponential function at:

brainly.com/question/11464095

#SPJ1

3 0

1 year ago