Well if it is a supplement then that means that is has to equal 180 degrees. If one angle is two times the other and it equals to 180 you can make an equation out of this.
First you would do:
x+2x=180
Then
3x=180
Last
x=60
Therefore x will equal 60 degrees which means that angle 1 is 60 and angle 2 is 120
<span>3 + 3 x 3 - 3 + 3
Multiply 3 by 3
3 + 9 - 3 + 3
Add 3 to 9
12 - 3 + 3
Subtract 3 from 12
9 + 3
Add
Final Answer: B. 12</span>
Option B: 50 is the value of the constant.
Explanation:
From the graph, the coordinates are
,
,
and 
Where the x coordinates denotes the width and the y - coordinates denotes the height.
Also, given that 
We need to determine the value of the constant
<u>Value of the constant:</u>
The value of the constant can be determined using the formula,

Since, all the coordinates lie on the same line, then all the coordinates have the constant.
Substituting the coordinate
in the above formula, we get,


Therefore, the value of constant is 50.
Hence, Option B is the correct answer.
Answer:
x=1
Step-by-step explanation:
2x+16-4x=10x+4
-2x+16=10x+4
16-4=10x+2x
12=12x
1=x
Answer:
The sum of its 30 terms is 38167.5
Step-by-step explanation:
Given:
The First term in the AP is -504
The Sum of its 9 terms is -126
To Find:
The sum of its 30 terms = ?
Solution:
The sum of n terms of an AP:
![S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]](https://tex.z-dn.net/?f=S_n%20%3D%20%28%5Cfrac%7Bn%7D%7B2%7D%20%29%20%5B%202%20a_1%20%2B%20%28%20n%20-%201%20%29%20d%20%5D)
The sum of 9 terms of an AP:
![S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%28%5Cfrac%7B9%20%7D%7B2%7D%20%29%20%5B%202%28-504%29%20%2B%20%28%209%20-%201%20%29d%20%5D)
![S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%284.5%20%29%5B%202%20%28-504%29%2B%20%28%208%20%29%20d%20%5D)

(-4536) +36d = -126
36 d = -126+4536
36 d= 4410

d = 122.5
The sum of its 30 terms is
![S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%28%20%5Cfrac%7B30%20%7D%7B2%20%7D%29%20%5B%202%20%28-504%29%20%2B%20%28%2030-1%29%28122.5%29%20%5D)
![S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%2815%29%20%5B%202%20%28-504%29%20%2B%20%28%2029%29%28122.5%29%20%5D)
![S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%202%20%28-504%29%2815%29%20%2B%20%28%2029%29%28122.5%29%2815%29%20%5D)
![S_{30} = [ -15120 + 53287.5 ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%20-15120%20%2B%2053287.5%20%5D)
