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1 year ago

What is the diameter of the inscribed circle of the triangle?

Mathematics

1 answer:

Fofino [41]1 year ago

6 0

The value of diameter for the given triangle inscribed in a circle will be 22.

<h3>What is a circle?</h3>

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

As per the given triangle inscribed a circle.

The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.

x + 2 = 2x - 7

2 = 2x - x - 7

x = 9

Thus, radius = 9 + 2 = 11

Diameter = 11 x 2 = 22 units.

Hence "The value of diameter for the given triangle inscribed in a circle will be 22".

To learn more about the circle,

brainly.com/question/266951

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$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

Jan purchased 140 shares of stock in ABC company at a price of $18.75 per share
During the next 3 days, the value of share declined by $1.00 , $1.75 and $1.50

$\bold{\underline{ To \: Find :- }}$

We have to find the value of a share of ABC stock at the end of 3 days

$\bold{\underline{ Let's \: Begin :- }}$

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore, 

Cost of 140 shares purchased by Jan in the ABC company

$\sf{ = 140 × 18.75 }$

$\sf{ = 2625\: dollars }$

Now, 

For next 3 days, the value of share declined

$\sf{ = (1 + 1.75 + 1.50)dollars }$

$\sf{ = 4.25 \: dollars }$

Therefore, 

The value of shares after 3 days will be

$\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}$

$\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}$

$\bold{\red{ = 18.75\: dollars}}$

Hence, The value of share after 3 days will be $18.75 .

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