1. There
are 10, 000 combinations, you have 10 choices for the four digit and there are
10 x 10 x 10 x 10 which is 4-digit combination from 1-9. This is called combinations;
the calculation comes out to 10^4.
Answer:
1. B. BD
2. C. 15
3. A. 2
Step-by-step explanation:
1. From the figure,
∠DAB = ∠DAC
Therefore, BD is the bisector of ∠ABC.
2. From the figure, IG = GH
3x = 5x - 10
10 = 5x - 3x
2x = 10
x = 5
So, GH = 5x - 10
= 5(5) - 10
= 25 - 10
= 15
Therefore, GH = 15.
3. From the figure,
∠DAB = ∠DAC
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2
Answer:
AO=8
Step-by-step explanation:
8, because point O is the centroid because it is the intersection point of the medians. The distance from a vertex to the centroid is always the same, and the ratio of the distance from a vertex to the centroid to the distance from the centroid to the side is always 2:1. So, we know that since FO=4, CO=8. AO=CO, so AO=8.
