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2 years ago

Find x. You have to use Pythagorean theorem

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

4 0

Answer:

x = √18 = 4.24

Step-by-step explanation:

The radius is half of diameter so radius is 6/2 = 3

Right triangle is formed by 2 equal sides which is the same as radius

According to Pythagorean theorem: x^2 = 3^2 + 3^2

x^2 = 9 + 9 = 18

x = √18 = 4.24

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3 years ago

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3 years ago

On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordi

Lemur [1.5K]

Number lines are used to represent points at regular interval.

The coordinate of point T on the number line is: 46.5

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$A =5$

$B = 50$

The coordinate of X at the midpoint is:

$X = \frac{B + A}{2}$

So, we have:

$X = \frac{50+5}{2}$

$X = \frac{55}{2}$

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Point T is at 2/3 from X to B.

The coordinate of T is calculated using:

$T = X + \frac 23 (B - X + 1)$

So, we have:

$T = 27.5 + \frac 23 (55 - 27.5 + 1)$

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<em>Hence, T is located at 46.5</em>