Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Answer:
None
Step-by-step explanation:
48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease
Answer:
horizontal lines of symmetry
Step-by-step explanation:
Answer:
-5x ≤ 6x - 11
Step-by-step explanation:
Solving inequalities involves the same steps as equations with the exception that when multiplying or dividing by a negative coefficient of the variable, the inequality sign will flip. The solution to one of the inequalities given must be x ≥ 1. Given this answer, you can solve each to find the matching inequality:
-5x ≥ 6x - 11 or -11x ≥ -11 or x ≤ 1 (flip the sign due to negative coefficient)
-5x ≤ 6x - 11 or -11x ≤ -11 or x ≥ 1 (flip the sign)
5x ≤ 6x + 11 or -x ≤ 11 or x ≥ -1
-5x ≤ 6x + 11 or -11x ≤ 11 or x ≥ -1
