Answer:
Step-by-step explanation:
The centroid is the intercession of medians.
The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
<u>BE is the median and point G is 2/3 of the distance from E:</u>
- GE = 2/3BE = 2/3(21) = 14
<u>Then BG is:</u>
- BG = BE - GE = 21 - 14 = 7
<u>The answer is</u> BG = 7, GE = 14
Answer:
m<CDE = 50°
Step-by-step explanation:
Recall: when an angle is formed outside a circle by two tangents, the angle formed = ½(the difference between the measures of the intercepted arcs), based on the outside angles theorem.
This implies that:
m<CDE = ½(Arc CBE - Arc CE)
Arc CE = 130°
Arc CBE = 360° - 130° = 230°
Plug in the values
m<CDE = ½(230 - 130)
m<CDE = ½(100)
m<CDE = 50°
Answer:
$ 637.17
Step-by-step explanation:
First, let's convert the interest per year (iy) to interest per month (im):
(1 + im)¹² = 1 + iy
(1 + im)¹² = 1 + 0.08
1 + im =
1 + im = 1.00643
im = 0.00643
im = 0.643%
The total amount (A) of an investment is:
Where R is the amount invested per month, and n the number of monthes. So:
10,000 = R*15.6943
R = $ 637.17
1. 2n + 2*5 =2
2. 2n + 10 = 2
3. 2n = 2 -10
4. 2n= -8
5. n = -8/2
6. n = -4