(4x + 5)
1 answer:
Answer:
<A = 133degrees
Step-by-step explanation:
Find the diagram attached
Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;
m<A + m<C = 180
4x+5 + x + 15 = 180
4x+x+5+15 = 180
5x+20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32degrees
Get the measure of angle A
<A = 4x+5
<A = 4(32)+5
<A = 128+5
<A = 133degrees
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Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
If we plug in our values, we have:
S = 50 * (8 + 495) = 50 * 503 = 25150