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2 years ago

What is a positive angle less than 360 degrees that is conterminal with 540 degrees

Mathematics

1 answer:

jekas [21]2 years ago

7 0

Answer:

Please check the explanation.

Step-by-step explanation:

As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.

Subtract 360° from 540°

540° - 360° = 180°

The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.

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What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

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2 years ago

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Step-by-step explanation:

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2 years ago

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Maurinko [17]

Answer:

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Step-by-step explanation:

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8x = 41 + 23

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2 years ago

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Answer:

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Step-by-step explanation:

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