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Damm [24]
3 years ago
13

Frank is constructing the circumscribed circle for △XYZ. He has already used his compass and straightedge to complete the part o

f the construction shown in the figure.
Which construction could be his next step?


Place the point of the compass on point Y and draw an arc intersecting the two arcs.

Place the point of the compass on point X and draw an arc intersecting the two arcs.

Place the point of the compass on point Z and draw an arc through points X and Y.

Place the point of the compass on one of the arcs and draw an arc through point X.

Mathematics
2 answers:
Tom [10]3 years ago
7 0
Circumscribed circle for a triangle is circle where the circumference would cut all the vertices in the triangle 
the diagram already has arcs marked from point Y, with the aim of drawing a perpendicular bisector to line XY.

Therefore the next step is to place the compass on point X and draw two arcs which cross the arcs already drawn (second option is the correct answer)

The points at which the 2 arcs meet are connected to each other making a perpendicular bisector that would cut XY perpendicularly.

Next step is to place the compass at Z and draw 2 arcs between Z and Y points, similarly place the compass at Y and draw 2 arcs that would cut the arcs already drawn. 

Then connect the two points where the arcs meet and thats the perpendicular bisector of ZY.
The point at which perpendicular bisectors of XY and YZ meet is known as the circumcenter. Place the compass on this point with the radius any of the three points X,Y or Z and draw the circle

stellarik [79]3 years ago
6 0

Answer:

Place the point of the compass on point X and draw an arc intersecting the two arcs.

Step-by step explanation:

This is to complete the angle bisector.

You might be interested in
Answer a b and c math question
galina1969 [7]
If the cut off fractions are 1 1/2, 3/4, 1/3 then these answers should be right.

(A) so if there is 1 1/2 cups of flour for 6 servings then you need to divide 1 1/2 by 6 to get 1/4 of a cup

(B) there are 1 1/12 cups of sugar (white & brown) then divide 1 1/12 by 6 to get 13/72 cups 

(C) To make the recipe serve 9 people you could divide all the fractions by six to see how much would make one serving then multiply by 9. 
the new fractions for 1 serving are 1/4, 1/8, and 1/18 
when multiplied by 9 the fractions become   2 1/4 1 1/18 1/2 

Hope i could help
3 0
3 years ago
Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!
Mariulka [41]

Answer:

6(2 + √3)  

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. <em>GK⊥JH</em>, <em>GK</em> =  6 cm and <em>m∠GHJ</em>=15°.

To find: Radius<em>(KH)</em> =?

Sol:  As given in figure 1, Since <em>GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.</em>

Now, In ΔGKH,

tan\Theta =\frac{perpendicular}{base}

tan\Theta =\frac{GK}{KH}

tan 15^{\circ} =\frac{6}{x}  

2-\sqrt{3} =\frac{6}{x}         (∵<em> tan 15°</em> = 2 - √3)

x = \frac{6}{2-\sqrt{3} }

On rationalizing the above expression,

x = \frac{6}{2-\sqrt{3} } \times \frac{2+\sqrt{3} }{2+\sqrt{3} } =\frac{6(2+\sqrt{3} )}{4-3}

Therefore, radius of the circle <em>(KH)</em> = 6 (2+√3)

This is how to find the value of <em>tan 15°</em>

<em>tan</em> 15° = <em>tan </em>(45° -30°)

Now using,

tan(A-B) = \frac{tanA-tanB}{1+tanA tanB}

tan(45^{\circ} - 30^{\circ}) = \frac{tan 45^{\circ}-tan30^{\circ}}{1+tan 45 tan30}

tan(45^{\circ} - 30^{\circ}) = \frac{1-\frac{1}{\sqrt{3}}}{1+1\times \frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}

On rationalizing,

tan 15^{\circ} = \frac{\left (\sqrt{3}-1 \right )^{2}}{3-1} =\frac{4-2\sqrt{3}}{2}

Taking 2 common from numerator,

<em>tan</em> 15° = 2 - √3

5 0
3 years ago
Read 2 more answers
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

7 0
3 years ago
Problem referred below <br> pls help
Marrrta [24]

Answer:

B

7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:

(3x-7)+x = 109

7 0
2 years ago
The distance between Columbus,Ohio and New York City is about 560 miles how many hours would it take the train to travel between
sergey [27]
Since the distance is 560 miles and the bus goes 268 miles per hour, the answer can be given as:
If 268=1 hour
  560=?
560/268*1 hour =2(rounded to nearest ones)
Therefore it will take the train approximately 2 hours to travel between both cities.
3 0
3 years ago
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