Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
Answer:
The 39th triangle number is 780
Answer:
B. -2
Step-by-step explanation:
This is a case of exponential growth. The appropriate equation, with the given data inserted, is P(t) = 500 ( 1+0.15)^50
or = 500 (1.15)^50
Evaluate this on your calculator.
Answer:
(A) 1(B) 3 (C) 2(D) 4
Step-by-step explanation: