Since we know that these two are consecutive angles and consecutive angles add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg.
Answer: 1
Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as
P(x=r) = e^-u × u^x/x!
For this question, x = 0 and u = 9.5
Hence we have that
P(x=0) = e^-0 × 9.5^0 / 0!
P(x=0) = 1 × 1/ 1 = 1
It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.
Answer: Okay so do 3x7.5 then 3x11.5 then 7.5x11.5 then add it up and you should get 143.25
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
