What is 10 times 10. ?
2 answers:
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Let 
be the n'th term of the sequence.
so
is the first term, 
the second term and so on...
In a geometric sequence with
, and common ratio r, the terms are as follows:
.
.
that is, each term is its previous term times the common ratio r.
In our example
and 
so
Answer: r=0.75
so
In a geometric sequence with
.
.
that is, each term is its previous term times the common ratio r.
In our example
so
Answer: r=0.75
<h3>Answer: D) 70</h3>
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Explanation:
Label a new point E at the intersection of the diagonals. The goal is to find angle CEB. Notice how angle AED and angle CEB are vertical angles, so angle AED is also x.
Recall that any rectangle has each diagonal that is the same length, and each diagonal cuts each other in half (aka bisect). This must mean segments DE and AE are the same length, and furthermore, triangle AED is isosceles.
Triangle AED being isosceles then tells us that the base angles ADE and DAE are the same measure (both being 55 in this case).
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To briefly summarize so far, we have these interior angles of triangle ADE
- A = 55
- D = 55
- E = x
For any triangle, the three angles always add to 180, so,
A+D+E = 180
55+55+x = 180
110+x = 180
x = 180-110
x = 70