1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
A baker used 3/16 cup of sugar. Then she used another 1/2 cup of sugar. How much sugar did she use in all?
Fittoniya [83]

Answer:

11/16 :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Silvia buys 12 steaks that are each 34 of a pound. She spends a total of $90 on steaks. Complete each sentence. Silvia buys a to
scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
                                        total amount = (3/4 lb/steak)(12 steak) = 9 lb
To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
5 0
3 years ago
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
The total amount of money earned by all three plumbers on Monday was $1,400. On Tuesday they earned a total of $1,660, and on We
Alekssandra [29.7K]
Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
------------------------------------
2*(1) - (2)
------------------------------------
4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
------------------------------------
       9B+6C = 1,140 --- (4)
------------------------------------
3(2) -4(3)
-----------------------------------
12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
-----------------------------------
         -15B-6C = -1,620 --- (5)
------------------------------------
(4) + (5)
------------------------------------
9B+6C = 1140
-15B-6C = -1620 +
-------------------------------------
-6B = -480 => 6B = 480 => B = 480/6 = 80
-------------------------------------------------------
Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
------------------------------------------------------------------------------
Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
----------------------------------------------------------------------------------------------
The rates are:
A = $100
B = $80
C = $70
--------------------------------
On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090
6 0
3 years ago
Read 2 more answers
Solve the equation<br> (x-3)^3-( x - 1 )^3 + 7x^2 = 7(3x - 4 )
Yakvenalex [24]

Answer:

x= -1 or x = -2

Step-by-step explanation:

Your equation:

(x−3)^3−(x−1)^3+7x^2=7(3x−4)

Step 1: Simplify both sides of the equation.

x^2+24x−26=21x−28

Step 2: Subtract 21x-28 from both sides.

x^2+24x−26−(21x−28)=21x−28−(21x−28)

x^2+3x+2=0

Step 3: Factor left side of equation.

(x+1)(x+2)=0

Step 4: Set factors equal to zero.

x+1=0 or x+2=0

which equals to x=−1 or x=−2

8 0
2 years ago
Other questions:
  • 6(1+×)=12 what is the answer​
    10·2 answers
  • I need help. y = –3x – 5
    9·1 answer
  • Please answer fast, I need great answers!!!!! This is mathematics.
    6·1 answer
  • What is 7 times 1 reminder 2?
    5·2 answers
  • What is 10 dived by 1,160?
    7·2 answers
  • What is 649,284,143 rounded to the nearest hundred million
    11·1 answer
  • In a class of all girls, 22 of the 28 students have brown hair. What is the
    9·1 answer
  • Simplify. (x 3) 4 • x -3 x -36 x 9 x 4 x -21
    14·2 answers
  • There are 4 blue, 2 red, 1 brown, 1 black, 1 white, and 3 green crayons in a box. What is the probability of picking a red crayo
    15·2 answers
  • Someone plz help me show your work!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!