Answer:
x = -10
Angle 2 = 49°
Angle 3 = 49°
Step-by-step explanation:
In the given figure, it's an isosceles triangle
so, angle 2 = angle 3
( since their opposite sides are equal )
now,
in the given triangle,
=》Angle 2 + Angle 3 + 82° = 180°
( sum of all interior angles of the triangle = 180° )
=》Angle 2 + Angle 3 = 180° - 82
=》Angle 2 + Angle 3 = 98°
=》2 × Angle 2 = 98°
( since, angle 2 = angle 3 )
=》Angle 2 = 98° / 2
=》Angle 2 = 49°
so, Angle 2 = 49° = Angle 3
now,
Angle 2 = x + 59
=》49 = x + 59
=》x = 49 - 59
=》x = -10
Answer:
The final ballance will be $1300.37.
Step-by-step explanation:
In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:
S = P(1 + r/n)^(n*t)
Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:
S = 975.52*(1 + 0.0725/4)^(4*4)
S = 975.52*(1.018125)^(16)
S = 975.52*1.333
S = 1300.37
The final ballance will be $1300.37.
Step-by-step explanation:
4x2+8x−3=0
For this equation: a=4, b=8, c=-3
4x2+8x+−3=0
Step 1: Use quadratic formula with a=4, b=8, c=-3.
x=
−b±√b2−4ac
2a
x= −(8)±√(8)2−4(4)(−3)
2(4)
x= −8±√112
8 x=−1+
1 2 √7 or x=−1+
−1 2 √7
Answer: x=−1+
1 2√7 or x=−1+
−1 2 √7
Answer:
120 coins our in her purse if the 2 dollar factor is made up of nickels
Answer:
Your answers are correct.
Step-by-step explanation:
The equality will be true for odd multiples of π/4, so the last two choices will not show the expression to be <em>not</em> an identity.
