The given angles are known as alternate interior angles.
For line L and M to be parallel, the two given angles must be the same.
Set them to equal each other and solve for X.
7x - 7 = 4x +14
Add 7 to each side:
7x = 4x +21
Subtract 4x from each side"
3x = 21
Divide both sides by 3:
X = 21 / 3
X = 7
We can assign the value "2x" as the amount of money that Amelia which to achieve in twelve years.
So, his initial money is X.
We can try each percent to test if it could double the amount in 12 years.
x+0.06*12years*x=1.72X
x+0.12*12*x=1.44x
x+0.1*12*x=2.2x
x+0.166*12*x=2.992x
Therefore, the answer is 10 percent.
Answer:
The sum of the first 650 terms of the given arithmetic sequence is 2,322,775
Step-by-step explanation:
The first term here is 4
while the nth term would be ai = a(i-1) + 11
Kindly note that i and 1 are subscript of a
Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula
Sn = n/2[2a + (n-1)d)
Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.
Plugging these values, we have
Sn = (650/2) (2(4) + (650-1)11)
Sn = 325(8 + 7,139)
Sn = 325(7,147)
Sn = 2,322,775
8X+6Y=12
Here's how you solve it:
Just isolate y by itself to get y-intercept form.
This is the formula: Y=MX+B
M is the slope or the number next to X in the original problem.
First:
6Y=-8X+12
Next:
divided everything by 6
Y=-4/3+2
I think the answer is A!
A and D
should be the answers.