Answer: Centroid
<u>Step-by-step explanation:</u>
Medians intersect at the CENTROID
Altitudes intersect at the Orthocenter
Perpendicular bisectors intersect at the Circumcenter
Angle bisectors intersect at the Incenter
Step-by-step explanation:
Let n = a number and 2n = an even number, then ...
Let 2n + 1 = the first of three consecutive odd numbers.
Let 2n + 3 = the second of three consecutive numbers.
Let 2n + 5 = the third of three consecutive odd numbers.
Since it's given that the sum of our three consecutive odd numbers is 45, then we can write the following equation to be solved for the variable n:
(2n + 1) + (2n + 3) + (2n + 5) = 45
2n + 1 + 2n + 3 + 2n + 5 = 45
Collecting like-terms on the left, we get:
6n + 9 = 45
Now, subtracting 9 from both sides in order to begin isolating the unknown, n, on the left side:
6n + 9 - 9 = 45 - 9
6n + 0 = 36
6n = 36
Now, divide both sides by 6 in order to solve the equation for n:
(6n)/6 = 36/6
(6/6)n = 36/6
(1)n = 6
n = 6
Therefore, ...
2n + 1 = 2(6) + 1
= 12 + 1
= 13
2n + 3 = 2(6) + 3
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Answer:
(a) 3x -y = 7
(b) x +3y = 29
Step-by-step explanation:
(a) The standard form of the given line is ...
3x -y = 5
The parallel line will have a constant on the right that makes it go through (5, 8), so it will be ...
3x -y = 3(5) -(8)
3x -y = 7
__
(b) The perpendicular line will have coefficients for x and y swapped and one of them negated. Again, the constant is chosen to make it go through (5, 8).
x + 3y = (5) +3(8)
x + 3y = 29
Answer:
66 = s
Step-by-step explanation:
s + 24 = 90
90 = s + 24
90 - 24 = s
66 = s
