Hello,
Let's a and b the 2 angles.
a+b=180 (1)
a=b/3+8 ==> 3a-b=24 (2)
(1)+(2)==>4a=204==>a=51(°) and b=180-51=129(°)
Proof:
129/3+8=43+8=51
129+51=180
Answer:
B) (2x + 3)(2x - 3)
Step-by-step explanation:
Use the FOIL method for each answer choice.
FOIL = First, Outside, Inside, Last
(2x)(2x) = 4x²
(2x)(-3) = -6x
(3)(2x) = 6x
(3)(-3) = -9
4x² -6x +6x -9
Simplify. Combine like terms:
4x² (-6x + 6x) - 9
4x² - 9
4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer
~
Answer:
5%
Step-by-step explanation:
The equation for simple interest rate is as follows:
A = P(1+rt)
A = final amount
P = initial principal amount
r = annual interest rate
t = time (in years)
So, we need to plug everything in and solve for r:
The final amount is equal to $875 plus the interest of $131.50.
A = 875 + 131.50 = 1006.50
Now, plug everything in:
1006.50 = 875( 1 + r(3))
Solve:
1 + 3r = 1.15028571 Divide 1006.50 by 875
3r = 0.15028571 Subtract 1 from 1.15028571
r = 0.050 Divide by 3
The simple interest rate would be 5%. I converted the r to a percent by multiplying 0.050 by 100.
I hope this helps!! Ask questions if you need!!
Answer:
767
Step-by-step explanation:
