Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
In which 
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
a3 = -12 and a8 = -37
First we find the common difference. So
So
Finding the first term:
Since 
So the general rule is:
<h3>
Answer: Choice B</h3>
Use a rigid transformation to prove that angle NPO is congruent to angle NLM
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Explanation:
The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.
The second pair of angles could either be
- angle NOP = angle NML
- angle NPO = angle NLM
so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.
Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.
We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.
Answer:
Jean paid $2,286 for the snow thrower, with a finance charge of $306.
Step-by-step explanation:
Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:
(1,980 x 0.1) + (18 x 116) = X
198 + 2,088 = X
2,286 = X
Therefore, the final price paid for Jean was $ 2,286.
In turn, the finance charge arises from the difference between the final price and the list price, that is:
2,286 - 1,980 = X
306 = X
Thus, the finance charge is $ 306.
It’s A. 32. ..................
The answer is 5.
Step-by-step explanation:
To find the interquartile range you must look at the median and the upper and lower halves of the data. The median (12) to the upper half of the data (15) is 3. Next, look at the median (12) to the lower half of the data (10) it is 2. We then add 2 and 3 to get the interquartile range of 5.
