Answer:
numbwer 8 is 44.04
Step-by-step explanation:
plz put brainliest
Answer:
The expression is 5(8 - 2).
Isabel will spend $30
Step-by-step explanation:
A-P-E-X Learning
(I did the quiz and got it right :))
Lines l and m are parallel because same-side interior angles are supplementary
From the question, we are to determine the lines we can conclude are parallel
From the given information, we have that
m ∠3 + m ∠4 = 180°
That is,
The measure of angle 3 and the measure of angle 4 are supplementary.
In the diagram,
We can observe that ∠3 and ∠4 are same-side interior angles
NOTE: If interior angles on the same side of the transversal sum to 180, then lines are parallel.
Hence,
Due to the fact that same-side interior angles are supplementary, lines l and m are parallel
Learn more on Parallel lines postulates here: brainly.com/question/9602013
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Answer:
- <em>The next number in the series 100, 96, 104, 88, 120, 56, ... is</em>: <u>184</u>
Explanation:
1) You need to try to find a pattern in the given sequence, so that you can conclude a rule to determine each number in the sequence.
2) The first logical approach to find such pattern is to find the differences between any pair of consecutive numbers. That leads you to this:
3) From that, you can see that the difference between two consecutive numbers is scaled by a factor of - 2. That is shown here:
- Second difference = 8 = - 4 ( - 2)
- Third difference = - 16 = 8 (- 2)
- Fourth difference = 32 = - 16 ( - 2)
- Fifth difference = - 64 = 32 ( - 2)
4) Therefore, in words, the rule is "add (- 2) times the previous difference", which is:
⇒ 56 + 128 = 184.
⇒ Answer: the next number is 184.
<h3>
Answer: 144</h3><h3>
Step-by-step explanation:</h3><h3 />
Since, the first 9 multiple of 4 starts from 0 are,
0, 4, 8, 12, 16, 20, ................
Which is an AP,
Having the first term, 
And, the successive difference, d = 4,
Since, the sum of the n term of an AP,
![S_n = \frac{n}{2}[2a + (n-1)d]](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%20%2B%20%28n-1%29d%5D)
Hence the sum of 9 term of the above AP,
![S_9 = \frac{9}{2}[2\times 0 + (9-1)\times 4]](https://tex.z-dn.net/?f=S_9%20%3D%20%5Cfrac%7B9%7D%7B2%7D%5B2%5Ctimes%200%20%2B%20%289-1%29%5Ctimes%204%5D)
