Answer: PA = ST, PB = SU, AB = TU ⇒ ∠P = ∠Q
<u>Step-by-step explanation:</u>
Point S is drawn to mimic point P.
The length of PA is measured and copied to point S so PA = ST.
The length of PB is measured and copied to point U so PB = SU.
Now we know that AB = SU.
Since all of the sides are congruent (if we were to draw a triangle), we can state that the triangles are congruent by Side-Side-Side Congruency Theorem. Thus, ∠P ≡ ∠S by CPCTC Theorem.
Answer:
Y = 66x - 1200 will be the equation.
Step-by-step explanation:
This question is incomplete; Here is the complete question.
A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets, they had a net profit of $12,000. They had to sell a few tickets just to cover necessary production costs of $1200.
Let Y represent the net profit (in dollars) when they have sold c tickets. Complete the equation for the relationship between the net profit and the number of tickets sold.
If the selling price of one ticket is $x, then selling price of 200 tickets
= $200x
Since production cost of the tickets = $1200 and profit earned is $12000
Therefore, Profit = Selling price of x tickets - production cost
12000 = 200x - 1200
200x = 13200
x = $66
Now we can rewrite the equation for c tickets sold and profit earned $Y
Y = 66c - 1200
25×(1−0.18)^(4)
=11.30
25*0.01=25(1-0.18)^t
0.25=25(0.82)^t
0.25/25=(0.82)^t
t=log(0.25/25)/log(0.82)
t=log(0.25÷25)÷log(0.82)
t=23.21 hours
Answer:
Step-by-step explanation:
when logs are added, they can be multiplied to produce a simplified log.
log_5(4*7) + log_5(2)
log_5(4*7*2)
log_5(56)
30
6 times 5 is 30 and since its 6 per hour you just do it to five :)