Answer:
( x + 3 )² - 27
Step-by-step explanation:
x² + 6x = 18
→ Minus 18 from both sides to get a quadratic equation
x² + 6x - 18
⇒Completed square from is ( x + a )² + b
⇒The value of 'a' will always be half the 'b' value in the equation
ax² + bx + c
→( x + 3 )² + b
Expand out the equation to find 'b'
x² + 6x + 9
We have do something to get from 9 to - 18 which -27
So the answer is ( x + 3 )² -27
To find the average number of customers for dinner, use the simple ratio of 5 lunch customers for every 8 dinner customers.
Because there are 40 lunch customers, this is eight groups of five lunch customers. This means you will need 8 groups of 8 dinner customers to make it equivalent.
8 x 8 = 64
There is an average of 64 customers for dinner.
The longest side is 5/(5+3+4) = 5/12 of the perimeter, hence
(5/12)*156 cm = 65 cm . . . . . the length of the longest side
The answer is c alternate exterior angles
Answer:
x = 30
Step-by-step explanation:
well from the theorem we have

yes i know you could say that the right way is

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)
so
![\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C5%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C6%5B5%5D%3D6%5B%5Cfrac%7Bx%7D%7B6%7D%5D%5C%5C%5C%5C30%3Dx)