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3 years ago

Answers are O - 17 O - 16 O - 15 O - (-16)

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

Interior angles on parallel lines cut by a traversal are supplementary (they add up to 180°). These can be identified as "c" angles, due to their shape. Knowing this, we can figure out the value of x:
7x+(2x+36)=180
7x+2x+36=180
Simplify the equation
9x+36=180
Collect like terms
9x=144
Divide by 9 on both sides to isolate x
x=16

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Area of a circle is 80 cm². Work out the circumference of the circle.

GuDViN [60]

Answer:

The circumference of circle is: 31.714 cm

Step-by-step explanation:

Let C be the circumference of the circle

And A be the area of circle

It is given that:

$A = 80cm^2$

We have to find the radius first so that it can be used to find the circumference

The area of circle is given by the formula:

$A = \pi r^2$

Putting the value of area

$80 = 3.14 * r^2\\\frac{80}{3.14} = r^2\\r^2 = 25.477$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{25.477..}\\r = 5.0475\ cm$

Now

$C = 2\pi r$

Putting the value of radius

$C = 2 * 3.14 * 5.05\\C = 31.714\ cm$

Hence,

The circumference of circle is: 31.714 cm

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