Answer:
DC = 4
CM = 2
Step-by-step explanation:
Remark
The centroid is located at the intersection point of all three medians of a triangle. The centroid is divides the median into a ratio of 2 to 1. The 1 is located closest to the intersection point of the median and the side opposite the vertex which is the starting point of the median.
In this particular triangle CM<DC
Givens
DC + CM = 6
CM <DC Labeled.
<em><u>Set up Proportion</u></em>
1:3 :: MC : (DC + CM)
1:3 :: MC : 6
1/3 = MC/6 Cross Multiply
3*MC = 6 Divide by 3
MC = 6/3 Divide
Answer
MC = 2
DC = 6 -2 = 4
Answer:
no
Step-by-step explanation:
no,
it is not in the form
Answer:
see below
Step-by-step explanation:
2,4,6,8,....
The sequence is defined by
an = a1 +d(n-1)
a1 is the first term which is 2
d is the common difference
d = 4-2 =2
an = 2 + 2(n-1)
We want the 100 term
a100 = 2 + 2(100-1)
=2 +2(99)
=2 +198
= 200
Next we need to find the sum
Sn = n/2 ( 2a1 + d(n-1))
n =100
Substituting n=100, d=2 and s1 = 2
S100 = 100/2 (2*2 + 2(100-1))
=50 (4+ 2*99)
=50 (4+198)
=50 (202)
=10100
Sum of 101 odd number
n= 101 a1 =1 and d =2
S101 = 101/2 ( 2*1 + 2(101-1))
50.5 (2+2(100))
50.5 (202)
10201
The sum of the first 100 even numbers is smaller than the sum of the first 101 odd numbers
Since we know the area of ΔACD as well as the measurement of the base, we will use these to find the length of the altitude. The formula for the area of a triangle is A=1/2bh. Our area is 30 and our base is 10, so we have:
30=1/2(10)h
30=5h
Divide each side by 5:
30/5=5h/5
6=h
The height of the triangle is also the height of the trapezoid. We can now find the area of the trapezoid. The formula we need is A=1/2(B+b)h. Substituting our numbers in, we have:
A=1/2(10+8)(6)=1/2(18)(6)=54
The area of the trapezoid is 54.
Answer:
according to angle sum property of triangle
74° + 66° + x = 180°
140° + x = 180°
x = 180° -140°
x = 40°
