Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
1 is an odd number so let’s put 1 into n, (1)2+4 which equals 2+4 which is 6, 6 is not a prime number as it can has factors such as 2&3 not just 1&6.
To get the answer we can use proportion
220 ----------------95.3%
x -------------------100%
Crossmultiply now
220*100%=95.3%*x
22000=95.3x /:95.3
22000:95.3=x
231=x - its the answer
Obtuse because it all adds up to 180 degrees <span />
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats