Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°
Answer:
Step-by-step explanation:
Let us represent:
Number of children = x = 59
Number of Adults = y = 166
On a certain hot summer's day, 225 people used the public swimming pool.
x + y = 225
x = 225 - y
The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $435.25.
$1.75 × x + $2.00 × y = $435.25
1.75x + 2y = 435.25
We substitute 225 - y for x
Hence:
1.75(225 - y ) + 2y = 435.25
393.75 - 1.75y + 2y = 435.25
Collect like terms
-1.75y + 2y = 435.25 - 393.75
0.25y = 41.5
y = 41.5/0.25
y = 166 Adults
Note that:
x = 225 - y
x = 225 - 166
x = 59 children
Hence, the number of children is 59 and the number of Adults is 166
Your answer should be <span>x>2</span>
I have included the answer and work in the picture attached below (the side length for the bottom leg is cut off, but it is 16 sqrt(2)):
