Answer:
133°
Step-by-step explanation:
The angle X is the same as the given.
We can write an algebra formula so let the number be Y
Y x 75% = 15
Y = 15/75% (aka 15/0.75)
therefore Y = 20
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
![a_n=a_1+d(n-1) \\ a_n=17+29(n-1)](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29%0A%5C%5C%0Aa_n%3D17%2B29%28n-1%29)
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Answer:
x-int: x = -7 and y-int: y = 9
Step-by-step explanation:
9x - 7y = -63
x-int: 9x - 0 = -63
x = -7
y-int: -7y = -63
y = 9
Answer:
35
Step-by-step explanation:
A=1/2(b_1+b_2)h
A=1/2(4+10)5
A=1/2*70
A=35