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3 years ago

Use the diagram to complete the statements.

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

Answer:

1. congruent

corresponding

2.supplementary

same side interior

Step-by-step explanation:

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

Helppppppppppppppppppppp

UNO [17]

Answer:

z = 60

Step-by-step explanation:

100+20+z=180

120+z=180

z=60

8 0

3 years ago

What is the perimeter , in feet , of the polygon 15,22,10,18,14,5,5,16

Alinara [238K]

You just add all the sides together for perimeter
the answer is105

5 0

3 years ago

Right triangle abc and pqr are shown below what angle is congruent to angle a and b what is the area in squares of triangle pr4

Effectus [21]

6x3=18-3=15 Hope it helps

4 0

3 years ago

Katie has a cat named

almond37 [142]

Answer:

1/2 a cup or 0.5 cups per serving

Step-by-step explanation:

If you were to divide 7 by 14 you would get 0.5. The reason as to why you would divide 7 by 14 is because if she eats twice a day that would be 7 more times then if she were to be fed once a day. So if you were to feed her twice a day that would be 14 times a week.

Don't think this helped at all but I tried my hardest, sorry if you get your problem wrong. Hope you have a good day :D

4 0

3 years ago