Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Step-by-step explanation:
3
fdjdjdjdnfjfjfjfjjfkfjf
The formula is
A=p (1+r/k)^kt
A future value?
P present value 12000
R interest rate
T time
K compounding periods
The future value of 8 years in an account paying 5% compounded quarterly
A=12,000×(1+0.05÷4)^(4×8)
A=17,857.566103137 use it as a present value for the second period
at 6% compounded annually for an additional 6 years.
A=17,857.566103137×(1+0.06)^(6)
A=25,331.30....answer
Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
Answer:
9112.5
Step-by-step explanation:
36,450 divided by 4.