Answer: it would cost a total of $194
Step-by-step explanation:
A ticket to a movie theatre for a student is $7. The cost for an adult is $2 more than for a student.
If student ticket costs $x, adult ticket would cost x + 2
This means that the cost for an adult is
7 + 2 = $9
The cost of 13 adult tickets to the movie theatre would be
13 × 9 = $117.
The cost of 11 student tickets to the movie theatre would be
11 × 7 = $77
Total cost of 13 adult tickets and 11 student tickets would be
117 + 77 = $194
Answer:
(6x+10)°=(6x+10)°[vertically opposite angle]
now,
6x+10+10x+10=180°[being cointerior angle]
16x=180-20
x=160%16
x=10°
Answer:
24 ft²
Step-by-step explanation:
The formula to solve for area of a triangle is: 
. First multiply the base x height: 12 x 4 = 48. Now multiply by 1/2: 48 x 1/2 = 24. Your answer is 24 ft².
Hope it helps and is correct!
Answer:
![\left[\begin{array}{cc}2&8\\5&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%268%5C%5C5%261%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The <em>transpose of a matrix </em>
is one where you swap the column and row index for every entry of some original matrix 
. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation 
and 
to refer to the entry in the i-th row and the j-th column of the matrices 
and 
respectively:
Constructing the matrix from those entries gives us
![P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]](https://tex.z-dn.net/?f=P%5ET%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%268%5C%5C5%261%5Cend%7Barray%7D%5Cright%5D)
which is option a. from the list.
Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!
Answer:
The answer is 2.
This is because on the left side of the triangle, we can see that the original length is ten cm greater than the second variation. therefore, the other side would also be 10 cm greater than the other variation's side. 5(2)×10= 20, which keeps the triangle to scale.
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