Answer:
C (4,3)
Step-by-step explanation:
Steps to find the circumcenter:
1) Find and Calculate the midpoint of given coordinates or midpoints.
2) Calculate the slope of the perpendicular bisector lines
3) By using the midpoint and the slope, find out the equation of the line
4) Do the same for another line
Solve the equations of two lines to get the intersection point.
The intersection point will be the circumcenter of the triangle.
Given :
X(-2,1), Y(2,-3), Z(6,-3)
Please see the attached file:
Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
Answer: 3:4
Step-by-step explanation: because the ratio of a :b is 2:3 which means b is 3 . And the ratio of a:c is 3 :4 which means c is 4.
And 3:4 is in simplest form .
Hope it helps.
Answer:
the second answer
Step-by-step explanation:
I took the test
Answer:
Answer: C 2:3
Step-by-step explanation:
total students = 25
total girls = 15
total boys = 25-15 = 10
boys:girls = 10:15
divide by 5 to get 2:3
