Since x is across from 148, and arcs opposite inscribed angles = 2×angle, then we can find x first.
We could set the 2 angles equal to 180 or their arcs equal to 360.
360 - (2×148) = x-arc
x-arc = 360 - 296 = 64
x = x-arc ÷2 = 64/2 = 32
Now for angle A we plug in for x:
A = 2x+1 = 2(32)+1 = 65°
Answer:
5%
Step-by-step explanation:
As given,
The population of the town increased from 175000 to 262500 in a decade.
⇒ In 10 years , population increased from 175000 to 262500
⇒% increase = 
× 100% = 
×100% = 0.5×100% = 50%
Now,
Average % increase = 
= 
% = 5%
∴ we get
Average percent increase of population per year = 5%
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
Answer:
a) The student cannot receive an A in the class.
b) The student must score 119 in the third exams to make an A. This is clearly not possible, since he cannot make 119 in a 100-points exam.
c) The student can make a B but he must score at least 84 in the third exam.
Step-by-step explanation:
To make an A, the student must score 315 (350 x 90%) in both home and the three exams.
The student who scored 35 (7 + 8 + 7 + 5 + 8) in the homework and 161 (81 + 80), getting a total of 196, is short by 119 (315 - 196) scores in making an A.
To make a B, the student must score 280 (350 x 80%) or higher but not reaching 315.
B ≥ 280 and < 315.
Since, the student had scored 196, he needs to score 84 and above to make a B in the last exam.
