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olchik [2.2K]
3 years ago
13

Does anyone know what x is - 3/4 (x+2)=6

Mathematics
2 answers:
love history [14]3 years ago
7 0

\bold{Answer}

\boxed{\bold{X \ = \ -10}}

\bold{Explanation}

  • \bold{Simplify: \ -\frac{3}{4}\left(x+2\right)=6}

\bold{-------------------}

  • \bold{Multiply \ Both \ Sides \ By \ -4}

\bold{\left(-\frac{3}{4}\left(x+2\right)\right)\left(-4\right)=6\left(-4\right)}

  • \bold{Simplify}

\bold{3\left(x+2\right)=-24}

  • \bold{Divide \ Both \ Sides \ By \ 3}

\bold{\frac{3\left(x+2\right)}{3}=\frac{-24}{3}}

  • \bold{Simplify}

\bold{x+2=-8}

  • \bold{Subtract \ 2 \ From \ Both \ Sides}

\bold{x+2-2=-8-2}

  • \bold{Simplify}

\bold{X \ = \ -10}

\boxed{\bold{Eclipsed}}

satela [25.4K]3 years ago
4 0

-10.

Solution: Multiply the negative three fourths by everything in the parenthesis.

-  \frac{3}{4} x + ( -  \frac{3}{2} ) = 6

Add the negative three halves to both sides.

-  \frac{3}{4} x  =  \frac{15}{2}

Multiply both sides by negative four thirds.

x =  - 10

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Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

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Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

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3 years ago
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agasfer [191]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.
earnstyle [38]

The lateral area of the right octagonal prism is 672 square inches

<h3>How to determine the lateral area</h3>

The formula for lateral area of a right octagonal prism is expressed as;

Lateral area = 8ah

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Substitute the values into the formula

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Lateral area = 672 square inches

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