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3 years ago

(14x-13) (4x+13) (6x+2)

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

3 0

Answer:

x = 7.416666667

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

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Okay this is my last one.. I think dfghmhgfd

Ainat [17]

<h2>○=> <u>Correct option</u> :</h2><h2> $\color{plum}\tt\bold{(B)}$ </h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

We know that :

$\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r$

So, let the diameter of this circle be x.

Which means :

$=\tt2 \times \pi \times r$

$=\tt 2 \times x \times \pi = 12\pi$

$=\tt 2x\pi = 12\pi$

$=\tt x = \frac{12}{2}$

$= \tt \: x = 6 \: m$

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎<em>Therefore, the correct option is (B)</em>

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