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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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Hii please help i’ll give brainliest if you give a correct answer tysm
Elza [17]

Hello!

\large\boxed{4 : 3 \text{ and } 16 : 12}

We can go through each answer to verify whether each is equivalent to 8 : 6.

4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6  by a factor of 2 yields 4 : 3.

6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.

16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.

10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:

10 ÷ 8 = 1.25

8 ÷ 6 = 1.33. Therefore, they are unequal.

7 : 5 is not equal to 8 : 6 for the same reason.

The only correct choices are:

4 : 3 and 16 : 12.

3 0
2 years ago
Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In
FromTheMoon [43]
She will likely finish the graduation sessions in less time.
7 0
2 years ago
Which relation is a function?<br> Please help
s344n2d4d5 [400]

Answer: the bottom right one

Step-by-step explanation:

you can put your pencil like this   I  and follow the line without two parts touching the line (vertical line test)

8 0
3 years ago
One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who
Helga [31]

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

\Rightarrow 48\times 341=16,368\ ml  

Amount of Juice Nicole has

\Rightarrow 36\times 341=12,276\ ml

Thus, Celine has more juice than Nicole

\Rightarrow 16,368-12,276=4092\ ml

Celine has 4092 ml more than Nicole

7 0
2 years ago
Can someone help me with this?
Roman55 [17]

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

7 0
2 years ago
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