Answer:
Always
Step-by-step explanation:
we know that
If points A, B, and C lie on a line, the the sum of the length of segment AB plus the length of the segment BC is always the length of segment AC
so
AC=AB+BC
In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be X or X^1
Answer:

Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:

i.e.

Make x the subject



-- approximated
Answer:
D. -17/2
Step-by-step explanation:
1/2 - 4 (1/2 + 1)^2
First we evaluate what is inside the parentheses
1/2 - 4 (3/2) ^2
Now we square what is inside the parentheses
1/2 - 4(9/4)
Now multiply
1/2 -9
Get a common denominator 9 = 9 *2/2 = 18/2
1/2 - 18/2
-17/2