By definition we have to:
Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
Therefore, Charlene's definition is correct.
Charlene said:
triangle is a triangle whose three interior angles have measures less than 90 °
Answer:
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
Answer:
Translation
Step-by-step explanation:
Transformation is the movement of objects in the coordinate plane. It can be through any of translation, reflection or rotation. The kind of transformation that occurs in ordered pairs is translation e.g if the ordered pair is (1, 4) x = 1, while y = 4. if it is translated we have (4, 1) such that x is now 4 while y is 1
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} - 101](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20-%20101)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = 1033 - 101(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201033%20-%20101%28n%20-%201%29)
![a_{n} = 1033 - 101n + 101](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201033%20-%20101n%20%2B%20101)
![a_{n} = 1134 - 101n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201134%20-%20101n)
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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} + 10](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20%2B%2010)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = -39 + 10(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-39%20%2B%2010%28n%20-%201%29)
![a_{n} = -39 + 10n - 10](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-39%20%2B%2010n%20-%2010)
![a_{n} = -49 + 10n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-49%20%2B%2010n)
***********************************************************************************
3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} - 1.25](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20-%201.25)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = 3.75 - 1.25(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%203.75%20-%201.25%28n%20-%201%29)
![a_{n} = 3.75 - 1.25n + 1.25](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%203.75%20-%201.25n%20%2B%201.25)
![a_{n} = 5 - 1.25n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%205%20-%201.25n)
Answer: 17/32 or 9/16 if the first one is not an option
Step-by-step explanation: