16:29:15 I think that would be it but, I'm really sorry if that's not right
Presumably l and m are parallel, so n and p are transversals across parallel lines. They'll make the obvious congruent angles and supplementary angles (add to 180 degrees) that presumably the questions will be asking about.
1. Angle 11 and angle 16. They're what's called vertical angles from a pair of crossing lines. Vertical angles are congruent, so m∠16 = 113°
2. Angle 1 and 3. Those are corresponding angles on a traversal of parallels, also congruent. m∠3 = 78°. You got this one right, good.
3. 7 & 8. They're what's called a linear pair, so are supplemental. 180-129=51 so m∠8 = 51°. You probably just subtracted wrong on this one.
4. 10 & 11. I forgot what these are called; interior angles or some such. Anyway they're supplementary so 180-77=103. m∠11 = 103°
5. 13 & 12. I forgot the name here too but they're congruent so m∠12 = 59°
6. 2 & 7. Again congruent so m∠7 = 130°
7. I don't know why they insist on making geometry into algebra. Here we have angles 1 & 8, which are congruent, so
5x + 2 = 3x + 28
5x - 4x = 28 - 2
2x = 26
x = 13
Parallel lines has equal slopes. Hence slope of line = -1/2
equation of line is (y - y1) = -1/2(x - x1)
y - (-6) = -1/2(x - 4)
y + 6 = -1/2x + 2
y = -1/2x + 2 - 6
y = -1/2x - 4
Answer:
Advertising and promotion.
Borrowing costs.
Employee expenses.
Equipment and supplies.
Insurance, license, and permit fees.
Research expenses.
Technological expenses.
Step-by-step explanation:
Answer:
a) 
b) When t = 10, Q = 7.845.
Step-by-step explanation:
The value of a quantity after t years is given by the following formula:
In which 
is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.
a) Write a formula for Q as a function of t.
The initial value of a quantity Q (at year t = 0) is 112.8.
This means that 
.
The quantity is decreasing by 23.4% per year.
This means that 
So
b) What is the value of Q when t = 10?
This is Q(10).
When t = 10, Q = 7.845.
