Answer:
x=7
Step-by-step explanation:
Equate the angles 7x-7 and 4x+14 and solve:
7x-7 = 4x+14
7x-4x = 14+7
3x = 21
x = 7
26 = orchestra
11 + 13 = 24 = choir
26 x 2 = 52 = band
52 + 24 + 26 = 102 people in all the following on top.
Hope this helped!
Nate
X⁴ - 12x² + 36
This is the equivalent expression.
(x²-6)²
1) (x²-6)*(x²-6)
2) x²(x²) + x²(-6) -6(x²) -6(-6) (distributive multiplication)
3) x⁴ - 6x² - 6x² + 36 = x⁴ - 12x² + 36 (group together figures that are the same value)
Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that 
, because it's a straight line. So, 
.
We know that the sum of the angles of any triangle will be 
.
So, we have that 
.
Combining like terms on the left gives 
.
Subtracting 
from both sides gives 
.
Dividing both sides by 
gives 
.
Finding missing angle measures:
.
.
So, 
and 
and we're done!
Note: 
. Coincidence? If not, try and prove it!
Change the 1/5 to 4/20 and the 3/4 to 15/20 and then add them together
