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2 years ago

9

Which of the following steps is needed to inscribe a circle in a triangle?

2 answers:

xxTIMURxx [149]2 years ago

6 0

Construct two angle bisectors of the triangle

Answer:

Option (D) is correct

<u>Step-by-step explanation:</u>

We have to contruct two angle bisectors of the triangle.

various steps to inscribe the circle in a triangle are

First draw a triangle
Draw angle bisector of one angle
Draw angle bisector of another angle
Extent these angle bisectors, where they meet that point will be called the incenter
From incenter draw prependicular to any side of the triangle
The length from the point where the prependicular touches the side of triangle to the point of incenter will be radius.
Use this radius and draw the incircle.

inysia [295]2 years ago

4 0

Answer:

Construct two angle bisectors of the triangle

Step-by-step explanation:

Got it right on the test

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Which method will determine the volume of the prism with dimensions 2 times 2 1/4 times 4 shown below

Tems11 [23]

Was increased by 1 inch, the new measure of each side would be 4 inches.

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3 years ago

For the following inequality, indicate whether the boundary line should be dashed or solid. 3x ≥ y + 1

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3 years ago

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

3 years ago

Megan has $50 and saves $5.50 each week. Conner has $18.50 and saves $7.75 each week. After how many weeks will Megan and conner

QveST [7]

After 14 weeks, both Megan and Conner will have saved the same amount.

Step-by-step explanation:

Amount Megan have = $50

Amount saved each week = $5.50

Amount Conner have = $18.50

Amount saved each week = $7.75

Let,

x be the number of weeks.

According to given statement;

M(x) = 50+5.50x Eqn 1

C(x) = 18.50+7.75x Eqn 2

For amount to be same;

Eqn 1 = Eqn 2

$50+5.50x=18.50+7.75x\\50-18.50=7.75x-5.50x\\31.50=2.25x\\2.25x=31.50\\$

Dividing both sides by 2.25

$\frac{2.25x}{2.25}=\frac{31.50}{2.25}\\x=14$

After 14 weeks, both Megan and Conner will have saved the same amount.

Keywords: functions, division

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

Find the solution set of the inequality<br> 4x-1< 11.<br><br> PLEASE HEP I NEED THIS ASAP!!!!

maxonik [38]

Answer: x > 3

Step-by-step explanation:

In order to find x, we must isolate it first.

Add one to both sides. It's now 4x < 12.

Now we divide both sides by 4, remember that every time we divide or multiply we must flip the inequality symbol.

The final answer is x > 3

6 0

2 years ago