Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that 
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
Answer: 7:49
Step-by-step explanation: As you can see in the table, if you divide the number of fans present at a football game by the number of students, you would always get 7. So, 7:49 is a choice because if you divide 49 by 7, you get 7. Hope this helps!!
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Balance prior to statement date = - 3.46
Minimum bank balance to avoid penalty = $10
The amount of deposit, d made in time in other to avoid penalty fee?
Minimum amount that most have been deposited, d :
Balance prior to statement + d ≥ minimum bank balance to avoid penalty
-3.46 + d ≥ 10
d ≥ 10 + 3.46
d ≥ 13.46
Hence, the minimum amount that must have been deposited to avoid penalty is 13.46
To find the diameter, you use the formula: 2x. we use 2x because the radius is 2 times the diameter.
so, if the radius is 3,980, then we substitute that into the formula.
2(3,980)
this will give us 7960. the diameter is 7960 miles.