Answer:
<h2>15</h2>
Step-by-step explanation:
∠6 and ∠7 are Alternate Interior Angles.
The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.
m∠6 = m∠7 → 4x - 15 = x + 30 <em>add 15 to both sides</em>
4x = x + 45 <em>subract x from both sides</em>
3x = 45 <em>divide both sides by 3</em>
x = 15
You will receive a free beverage and free desert on your 60th visit.
Beverage- 1, 2, 3, 4, 5, 6
Visits- 12, 24, 36 ,48 ,60
Desert- 1, 2, 3 ,4
Visits- 15, 30, 45, 60
Notice how for beverages at 60 visits you get your 6th drink for free, and for deserts, at you 60 visits you receive your 4 free desert.
So, since both numbers have the same number (60) of visits which is their common multiple between the 2, you answer is 60.
PEMDAS ( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
4(2.53(207))
Since there are no equations in the parentheses, or exponents, we skip these, and head straight for multiplication:
4(523.7)
Then, do multiplication again:
2094.8
So that means, 4(2.53(207)) = 2094.8
I assume the brackets mean parentheses, since the absolute value of 523.7 does not mean anything in this equation.
So for this, you'll be using an exponential equation, which is y=ab^x (a = initial value, b = growth/decay).
Since you start off paying your friend $1, that will be your initial value. And since this is a 50% increase, you are to add 1 and 0.5 together (50% in decimal form), which is 1.5. That will be your b variable. And since # of days is the independent variable, that will be your x variable.
Using the previous info, this is our equation: y = 1(1.5)^20 . From here we can solve for the total cost (y).
Firstly, solve 1.5^20: y = 1(3325.26)
Next, multiply everything on the right side of the equation, and your answer will be (rounded to the hundreths): y = 3325.26
In context, at the end of the 20 days, you have to pay your friend $3325.26.
Step-by-step explanation:
dude wut r we suppose to do??
