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2 years ago

What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?

2 answers:

8 0

Find the incenter of the triangle.
Draw a perpendicular from the incenter to one of the sides. Mark the point of intersection with the side.
Set the distance between compass points to the distance between the point of intersection and the incenter. This is the radius of the circle

Marta_Voda [28]2 years ago

4 0

Construct the perpendicular bisector of one side of triangle
Construct the perpendicular bisector of another side
Where they cross is the center of the Circumscribed circle
Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

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30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours d

svetoff [14.1K]

Step-by-step explanation:

(30 men, 56 days, 6 hours daily)

=> (30 men, 48 days, 7 hours daily)

=> (45 men, 32 days, 7 hours daily)

Hence it will take 32 days.

5 0

2 years ago

Which expression represent, 3 times the sum of 7 and m.

Marina CMI [18]

D would be the answer.Since you are adding the sum first hence the parentheses.

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2 years ago

A chord of a circle is 66cm long, it is 56 cm from the center of the circle. What is the radius of the circle?

ser-zykov [4K]

Answer:

radius = 65 cm

Step-by-step explanation:

(See image attached for better comprehension)

To find the value of the radius, we just need to draw a triangle, where one side is half of the chord (the distance from the chord to the center creates a point that divides the chord in two equal segments), other side is the distance from the chord to the center, and the hypotenusa will be the radius.

So, using Pythagoras' theorem, we have that:

r^2 = 56^2 + 33^2

r^2 = 4225

r = 65 cm

4 0

2 years ago

In order to paint your bedroom, you buy 2 gallons of paint that cost $10.50 each, 3 paint brushes that cost $2.99 each, and 2 pa

svlad2 [7]

$32.50 would be your answer for all of those :) good luck :)

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2 years ago

Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct wa

Nimfa-mama [501]

The given expression is :

2xx+3-5(x-2)

We know that, $x{\cdot}x=x^2$

$=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10$

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

5 0

2 years ago