Answer:
Step-by-step explanation:
∠A + ∠B = 180 {supplementary angles}
8x - 25 + 7x - 5 = 180 {bring the like terms together}
8x + 7x - 25 - 5 = 180 {add the like terms}
15x - 30 = 180 {add 30 to both the side}
15x = 180 +30
15x = 210 {divide both sides by 15}
15x/15 = 210/15
x = 14
∠B = 7x - 5 = 7*14 - 5
= 98 - 5
∠B = 93°
I think the answer is letter c
Length of missing leg = 12 km
Using Pythagoras theorem
a² = 15² - 9²
a = √ 225 - 49
a = √144
a = 12 km
HOPE IT HELPS..
To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows.
(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
18m - 10m = 150 + 90
8m = 240
m = 240/8
m = 30
First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
Answer:
$13,695.98
Step-by-step explanation:
Continuously compounded interest formula:
where
A = future value
P = principal (present value of amount invested)
e = mathematical constant, the base of natural logarithms
r = interest rate
t = time in years
We have: P = 6154; r = 8% = 0.08; t = 10
Answer: $13,695.98