Answer:
Step-by-step explanation:
<u>Congruent Triangles</u>
The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.
Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore
Solving
The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by
Or
Thus
Solving
Answer:
23
Step-by-step explanation:
Answer: the 7th person will get 3.125 pieces of gum.
Step-by-step explanation:
The first student gets one-half and each student gets half of what's left each time. This means that number of pieces of gum that each student gets is reducing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 200
r = 0.5
n = 7
The 7th term, T7 is
T7 = 200 × 0.5^(7 - 1)
T7 = 200 × 0.5^6
T7 = 3.125
The answer to the question you asked is 162.5625
