Answer:
51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Step-by-step explanation:
Total number of tickets sold by = 100
Let
be the early-admission tickets sold by the school.
As 51% of the tickets sold at a school carnival were early-admission tickets.
so


Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Answer:
horizontal
Step-by-step explanation:
<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
_____
All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2