To make this simple
If two pairs corresponding angles in a pair of triangles are congruent then the triangles are similar
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
15
Step-by-step explanation:
37.5÷2.5 goes in 15 times
39-(15z+48)/27=35
39-35=(15z+48)/27
4=(15z+48)/27
108=15z+48
108-48=15z
60=15z
z=60/15
z=4
