Answer:
x ≈ 3.1 ft
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector, thus
The triangle is right with base = 
x
Applying Pythagoras' identity to the right triangle, then
( x )² + 1.4² = 2.1²
x² + 1.96 = 4.41 ( subtract 1.96 from both sides )
x² = 2.45 ( multiply both sides by 4 )
x² = 9.8 ( take the square root of both sides )
x = 
≈ 3.1 ft ( to the nearest tenth )
Answer:788
Step-by-step explanation:
Answer:
x=4
ME=9
AM=18
AE=27
Because m in the midpoint ME is double AM
2(4x-7)=5x-2 4(4)-7 5(4)-2 18+9
8x-14=5x-2 16-7 20-2 =27
<u>-5x -5x</u> =9 =18
3x-14=-2
<u> +14 +14</u>
<u>3x</u>=<u>12</u>
3 3
x=4
Answer:
Adult Ticket Price = $13
Child Ticket Price = $13
Step-by-step explanation:
Let price of adult ticket be "a" and child ticket be "c"
13 adult and 14 child equals $351, so we can write:
13a + 14c = 351
and
2 adult and 7 child equals $117, thus we can write:
2a + 7c = 117
We multiply 2nd equation by (-2) to get:
-2 * [2a + 7c = 117]
= -4a -14c = -234
Adding botht he "bold" equations, we get:
13a + 14c = 351
-4a -14c = -234
------------------------
9a = 117
a = 117/9 = 13
Now to find b, we use the value of a gotten in the first equation:
13a + 14c = 351
13(13) + 14c = 351
169 + 14c = 351
14c = 182
c = 182/14 = 13
Hence,
<em>Adult Ticket Price = $13</em>
<em>Child Ticket Price = $13</em>
