ANSWER
Option C is the correct option
EXPLANATION
To find which of the expressions is equivalent. We have to expand the brackets in each of he expressions and find the answer.
We must remember that:
+ * + = +
+ * - = -
- * + = -
- * - = +
For the expression given:
-20 +(-50) + (-90)
= -20 - 50 - 90
= -160
OPTION A
-20 -(-50) - (-90)
= -20 + 50 + 90
= 120
OPTION B
-20 - (-50) + (-90)
= -20 + 50 - 90
= -60
OPTION C
-(20 + 50) + (-90)
= -20 - 50 - 90
= -160
As we can already see, Option C is the correct option.