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3 years ago

Find the value of x to the nearest tenth

Mathematics

1 answer:

o-na [289]3 years ago

5 0

As the sides shown are same so the base of large triangle is double the base of smaller triangle
That is
2(3x-8) =20
Divide both sides by 2
3x-8 = 10
Add 8 to both sides
3x =18
Divide both sides by 3
x=6

So answer is 6.0

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Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

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$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

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$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

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