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2 years ago

Where can the perpendicular bisectors of an acute triangle intersect?

Mathematics

2 answers:

denpristay [2]2 years ago

5 0

Answer:

Step-by-step explanation:

Flauer [41]2 years ago

4 0

Answer:

I and II

Step-by-step explanation:

Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE.

Statement 1 is true because the perpendicular bisectors intersect at the center of the circumcircle.

Since the two triangles have the same circumcircle, therefore, their perpendicular bisectors intersect at the same point. So statement I is true.

Statement II: The distance from C to D is the same as the distance from D to E.

Since they both, that is distance from C to D and the distance from D to E represent the radius of the circle therefore, they both are equal in length.

Therefore, only I and II are correct.

pErIoD

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Dan, Harry and Regan sell cars.

klasskru [66]

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

6 0

2 years ago

Read 2 more answers

Which of the following is the quotient of the rational expressions shown here? x/x-1 / 1/x 1.

WINSTONCH [101]

The quotient of the rational expressions is $\rm \dfrac{x^2-x}{x-1}$ .

<h3>Given that</h3>

Rational Expression; $\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

<h3>We have to determine</h3>

Which of the following is the quotient of the rational expressions shown here?

<h3>According to the question</h3>

Rational Expression; $\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

Then,

The quotient of the rational expressions is,

$\rm \dfrac{x}{x-1}$ ÷ $\rm \dfrac{1}{x+1}$

$\rm =\dfrac{x}{x-1} \times \dfrac{x+1}{1}\\
\\ =\dfrac{x(x-1)}{x\times 1}\\
\\
=\dfrac{x^2-x}{x-1}$

Hence, The quotient of the rational expressions is $\rm \dfrac{x^2-x}{x-1}$ .

To know more about Division click the link given below.

brainly.com/question/26163188

7 0

2 years ago

Find the value of x.<br> 6<br> 14<br> 8<br> 0<br> 21<br> x = [ ? ]<br> 3x-12

love history [14]

Answer: 7

Step-by-step explanation:

By the angle bisector theorem,

$\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}$

4 0

2 years ago

100%

creativ13 [48]

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Aspherical balloon has a radius of 6 feet, hence the volume is:

$V = \frac{4\pi 6^3}{3} = 905$

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

$V(t) = 0.8(905) - 30t$