<h2><em>= 2(x-3) + 2(7x+1) </em></h2><h2><em>since there are 4 sides, 2 which have the same dimensions
</em></h2><h2><em>
</em></h2><h2><em>= 2x - 6 + 14x + 1 </em></h2><h2><em>= 16x - 5</em></h2><h2><em /></h2><h2><em>HOPE IT HELPS (◕‿◕✿) </em></h2><h2><em>SMILE!!
</em></h2><h2><em /></h2>
The quantity of each type of seats sold are as follows:
- Movie and a dinner seat = 200
According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.
That is, x = 4y
Also, total seats
= (x) + (y) + (z) = 3000...….............eqn(1)
Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.
- 20x + 35y + 15z = 53000...........eqn(2)
By substituting 4y for x in equations 1 and 2; we have;
<em>5y + z = 3000</em>..…........eqn(3) and
<em>115y + 15z = 53000</em>.........eqn(4)
By solving equations 3 and 4 simultaneously; we have;
y = 200 and z = 2000
and since x = 4y
x = 800
The quantity of each type of seats sold is as follows:
- Movie and a dinner seat = 200
Read more:
brainly.com/question/12413726
Answer:
<em>The probability of obtaining the letter p twice is 1/121</em>
Step-by-step explanation:
<u>Probability of Recurring Events</u>
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

We'll use the multiplication rule. Just multiply the probability of the first event by the second.


The probability of obtaining the letter p twice is 1/121
Answer:
n² + 5 = 41 n = 6
Step-by-step explanation:
n² + 5 = 41
n² + 5 - 5 = 41 - 5
n² = 36
What squared equals 36? 6!
6² = 6 * 6 = 36
Check your answer!
6² + 5 = 41
36 + 5 = 41
41 = 41
Have a good night! :)
Answer:
First Row: Given
Second Row: Definition of Regular Polygon
Third Row: Definition of Congruence In Terms of Rigid Motion
Fourth Row: Definition of Regular Polygon
Fifth Row: SAS Triangle Congruence Theorem
Sixth Row: CPCTC
Step-by-step explanation:
This is a basic proof in order to prove that verticals of a polygon are congruent. This should be the right answer since it's the only thing that makes sense to me. I really hope this helps you and thanks for being patient! I've been doing geometry and we have to prove everything we claim in a proof just like this one. However, there was one I kind of guessed on (the third row), but I think it should be correct! I saw from the photo that you have a check answer on the bottom of your screen. Just check the answers that I have for you now and if something is wrong, then we can continue talking about it! Hope this helps!! :)