Answer:
![-3 = x](https://tex.z-dn.net/?f=-3%20%3D%20x)
Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
156 = [x + 109] + [x + 53]
156 = 162 + 2x
-162 - 162
_______________
−6 = 2x
___ ___
2 2
−3 = x
[−3 + 53] + [−3 + 109] = 156
50 106
156 = 156 ☑
Therefore,
is a genuine statement.
I am joyous to assist you anytime.
Answer:
2/4
Step-by-step explanation:
Using a graph, you would start at (-1,2). Next you would move up twice. Then you would move 4 lines to the right. You'll land on (3,4)
Parentheses affect how equations are done.
EX. 1+1*4
4+1=5
VS
(1+1)*4
2*4=8
The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore, 0.20.
Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.
The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.
The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.
Learn more about the probability here brainly.com/question/24756209
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We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:
![\bf a_n\ =\ a\ +\ (n\ -\ 1)d](https://tex.z-dn.net/?f=%5Cbf%20a_n%5C%20%3D%5C%20a%5C%20%2B%5C%20%28n%5C%20-%5C%201%29d)
where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find
.
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,
![\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464](https://tex.z-dn.net/?f=%5Csf%20a_2_3%5C%20%3D%5C%20a%5C%20%2B%5C%20%28n%5C%20-%5C%201%29d%5C%5C%5C%5C%5C%5Ca_2_3%5C%20%3D%5C%20-24%5C%20%2B%5C%20%2823%5C%20-%5C%201%29%5C%20%5Ctimes%5C%20%28-20%29%5C%5C%5C%5C%5C%5Ca_2_3%5C%20%3D%5C%20-24%5C%20%2B%5C%2022%5C%20%5Ctimes%20%28-20%29%5C%5C%5C%5C%5C%5Ca_2_3%5C%20%3D%5C%20-24%5C%20-%5C%20440%5C%5C%5C%5C%5C%5C%5Cbf%20a_2_3%5C%20%3D%5C%20-464)
Therefore, the 23rd term in the AP is -464.
Hope it helps. :)