Answer:
5576
Step-by-step explanation:
Hey there!
ANSWER: ![\frac{23}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B20%7D)
EXPLANATION:
To find the answer to your question, you will need to add.
![\frac{3}{4}+\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B2%7D%7B5%7D)
First, multiply the denominator.
![5*4=20](https://tex.z-dn.net/?f=5%2A4%3D20)
So the denominator will be 20.
Now move on to the numerator. Multiply 5 by 3.
![5*3=15](https://tex.z-dn.net/?f=5%2A3%3D15)
Now multiply 4 bu 2.
![4*2=8](https://tex.z-dn.net/?f=4%2A2%3D8)
If you want to get the numerator, add what you got after multiply.
![15+8=23](https://tex.z-dn.net/?f=15%2B8%3D23)
The numerator is 23. So now let's complete the fraction.
![\frac{23}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B20%7D)
This is your answer!
Hope this helps!
![-TestedHyperr](https://tex.z-dn.net/?f=-TestedHyperr)
It's a geometric sequence.
![4,-12,36,... \\ \\ a_1=4 \\ r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\ a_n=a_1 \times r^{n-1} \\ a_n=4 \times (-3)^{n-1} \\ a_n=4 \times (-3)^{-1} \times (-3)^n \\ a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\ a_n=-\frac{4}{3}(-3)^n](https://tex.z-dn.net/?f=4%2C-12%2C36%2C...%20%5C%5C%20%5C%5C%0Aa_1%3D4%20%5C%5C%0Ar%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7B-12%7D%7B4%7D%3D-3%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_n%3D4%20%5Ctimes%20%28-3%29%5E%7Bn-1%7D%20%5C%5C%0Aa_n%3D4%20%5Ctimes%20%28-3%29%5E%7B-1%7D%20%5Ctimes%20%28-3%29%5En%20%5C%5C%0Aa_n%3D4%20%5Ctimes%20%28-%5Cfrac%7B1%7D%7B3%7D%29%20%5Ctimes%20%28-3%29%5En%20%5C%5C%0Aa_n%3D-%5Cfrac%7B4%7D%7B3%7D%28-3%29%5En)
It's the sum for term 4 through term 15.
Answer:
x=15
Step-by-step explanation:
This is an equilateral triangle. That means all sides are equal and all angles are equal
An equilateral triangle has angle measurements of 60 degrees
60 =4x
Divide each side by 4
60/4 = 4x/4
15 =x