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2 years ago

4. The area of a triangle measures 54 in2. The height of the triangle is 18 inches. What is the base of the triangle?

Mathematics

1 answer:

snow_lady [41]2 years ago

8 0

⠀⠀⠀⠀⠀⠀⣤⣶⣶

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣀⣀

⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿

⣤⣶⣀⠿⠶⣿⣿⣿⠿⣿⣿⣿⣿

⠉⠿⣿⣿⠿⠛⠉⠀⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣤⣤

⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿

⠀⠀⠀⠀⣀⣿⣿⣿⠿⠉⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⣿⣿⠿⠉⠀⠀⠀⠀⠿⣿⣿⠛

⠀⠀⠀⠀⠛⣿⣿⣀⠀⠀⠀⠀⠀⣿⣿⣀

⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠿⣿⣿

⠀⠀⠀⠀⠀⠉⣿⣿⠀⠀⠀⠀⠀⠀⠉⣿

⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣀⣿

⠀⠀⠀⠀⠀⠀⣀⣿⣿

⠀⠀⠀⠀⠤⣿⠿⠿⠿ ⠀⠀⠀⠀⣀

⠀⠀⣶⣿⠿⠀⠀⠀⣀⠀⣤⣤

⠀⣶⣿⠀⠀⠀⠀⣿⣿⣿⠛⠛⠿⣤⣀

⣶⣿⣤⣤⣤⣤⣤⣿⣿⣿⣀⣤⣶⣭⣿⣶⣀

⠉⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠿⠿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿

⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠛⠿⣿⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⣿⣿⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣶⣿⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿

⠀⠀⣶⠀⠀⣀⣤⣶⣤⣉⣿⣿⣤⣀

⠤⣤⣿⣤⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣀

⠀⠛⠿⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⠉⠛⠿⣿⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⠛⠀⠀⠀⣶⠿

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣤⠀⣿⠿

⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⠿⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠉

⠀⠀⠀⠀⠀⠀⠀⠀⣛⣿⣭⣶⣀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠛⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⠀⣶⠿

⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⠿

⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛i worked foreword

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natita [175]

$-5-x=2x-(4x+6)$

Using the distributive property is the correct first step. $(4x+6)$ is being multiplied by -1, so distributing gives

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Now, using the associative property of addition, you get

$-5-x=(2x+(-4x))+(-6)$
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Simplify the right hand side:

$-5-x=-2x-6$

Add 5 and $2x$ to both sides.

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On the left side, use the associative property. On the right, commutativity and associativity:

$2x+(5-5)-x=5+(2x-2x)-6$

Simplify.

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