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jasenka [17]
3 years ago
10

Find the value of x. Give the answer in simplest radical form.

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

X = 8√2.

Step-by-step explanation:

In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.

So here, x = 8 and the side X = 8√2.

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180 product of a prime factor using indices
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<span>Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. </span>

<span>Is 45 divisible by 2? No, so try a bigger divisor. </span>
<span>Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 </span>

<span>Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. </span>

<span>Is 5 divisible by 3? No, so try a bigger divisor. </span>
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
<span>Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 </span>

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<span>In this case, you should have written down, "2 * 2 * 3 * 3 * 5"</span>
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Step-by-step explanation:

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Now that we know a is equal to 45, we can tell that b is also equal to that amount. This is because two parallel lines cut by a transversal creates the same angle.

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