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matrenka [14]
2 years ago
15

Find the value of x in the triangle shown below

Mathematics
2 answers:
Dahasolnce [82]2 years ago
4 0

Answer:

Step-by-step explanation:

Pythagorean theorem,

Hypotenuse² = Altitude² + Base²

x² = 8² + 4²

   = 64 + 16

  = 80

x = √80

kifflom [539]2 years ago
3 0

Answer:

A) x=sq rt 80

Step-by-step explanation:

by the Pythagorean theorem

4^2+8^2=x^2

16+64=x^2

80=x^2

x=sq root 80

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Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.

2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

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