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3 years ago

Which point in a triangle is equidistant from the vertices of the triangle?

Mathematics

2 answers:

Kobotan [32]3 years ago

3 0

Answer:

C. the point of intersection of the perpendicular bisectors

Step-by-step explanation:

GaryK [48]3 years ago

3 0

Answer:

The point of intersection of the perpendicular bisectors.

Step-by-step explanation:

Which point in a triangle is equidistant from the vertices of the triangle?

The point of intersection of the perpendicular bisectors.

The point where all three perpendicular bisectors intersect is called the circumcenter of the triangle.

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3 years ago

If y varies directly as x and z and y=4 when x=6 and z=1 find y when x=7 and z=4

yawa3891 [41]

Answer-

The value of y is $\dfrac{56}{3}$ when x=7 and z=4.

Solution-

As given in the question, y is directly proportional to x, so

$y\propto x$ -----------------1

And also y is directly proportional to z, so

$y\propto z$ -----------------2

Combining equation 1 and 2,

$\Rightarrow y\propto x.z$

$\Rightarrow y=k.x.z$

Where,

k = proportionality constant

When x=6 and z=1, y=4. Putting theses values,

$\Rightarrow 4=k\times 6\times 1$

$\Rightarrow 4=6k$

$\Rightarrow k=\dfrac{4}{6}$

$\Rightarrow k=\dfrac{2}{3}$

Now, we have to find the value of y, when x=7 and z=4

$\Rightarrow y=\dfrac{2}{3}\times 7\times 4$

$\Rightarrow y=\dfrac{56}{3}$

Therefore, the value of y is $\dfrac{56}{3}$ when x=7 and z=4.

6 0

3 years ago

Read 2 more answers

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aksik [14]

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3 years ago

Which of the following is a proportion?

Anestetic [448]

Answer:

the first one

Step-by-step explanation:

because 4/6=2/3

2/3=6/9

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2 years ago

What is the solution to the system of equations?

Vitek1552 [10]

Multiply the 1st equation by 2 and the 2nd by 5 to get:
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)

3 0

3 years ago