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pychu [463]
2 years ago
9

100 POINTS!!!!

Mathematics
2 answers:
Svetllana [295]2 years ago
7 0

QUESTION:

Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by drawing line segments and . Then construct the perpendicular bisectors of and , and name the point of intersection of the perpendicular bisectors O. How do you know that point O is the center of the circle that passes through the three points?

ANSWER:

When we join all three points (D, E, F) then it forms a Δ DEF.

Now, Let the midpoint of EF be M and the midpoint of ED be N and Join point I to E, D and F.

Because, IN is both an altitude and median to Δ EID, then Δ EID is an isosceles triangle, and IE = ID.

Similarly, we see that IE = IF.

So, we can conclude that,

  • IE = ID = EF.

Hence, O is the center of the circle with radius IE, ID or EF.

NOTE: See picture attached.

weeeeeb [17]2 years ago
5 0

Answer:

O is the center of the circle with radius IE(=ID=EF)

Step-by-step explanation:

Join all 3 points D, E, F, forming the triangle DEF.

Let the midpoint of EF be M and the midpoint of ED be N. (first picture)

Join point I to E, D and F.

Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID

similarly, we see that IE=IF.

conclusion: IE=ID=EF.

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1 year ago
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Reptile [31]

Answer:

Solution → (2, -1)

Step-by-step explanation:

Input-output values table for equation (1),

2x + y = 3

x          -1          0         1         2          

y          5          3         1         -1

Input-output values table for equation (2),

y = x - 3

x         -1          0         1         2  

y         -4        -3        -2        -1

Now plot these points to get the graphs of both the equations.

Common point (2, -1) of both the lines will be the solution of the system of equations.

5 0
2 years ago
a bakery made 230 muffins in the morning it made 160 more muffins in the afternoon by the end of the day the bakery had sold 260
cestrela7 [59]

Answer:

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Step-by-step explanation:

They made a total of 390 muffins before the end of the day. they sold 260 or the 390 muffins which leaves them with 130.

7 0
1 year ago
The triangle shown below has an area of 10 units^2 squared.<br> Find x.
Nonamiya [84]

Answer:

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Step-by-step explanation:

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motikmotik

We have:

\begin{cases}y=2x+9 \\y=-x+6 \\\end{cases}

First multiply the second equation by 2 to get:

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Then add the equations to eliminate the x-terms to get:

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And finally use calculated y and plug it in one of the original equations to find x:

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The solution is a point P(-1,7) where lines y=2x+9 and y=6-x intersect.

Hope this helps.

4 0
2 years ago
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