Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pyth
agorean theorem
1 answer:
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Answer:
We also know that for Wedneday we have two times tickets for adults compared to child so we have
And using this condition we have:
And solving for X we got:
So then the number of tickets sold for child are 36
Step-by-step explanation:
For this problem we can set upt the following notation
X = number of tickets for child
Y= number of tickets for adults
And we know that the total revenue for Wednesday was 831.60. So then we can set up the following equation for the total revenue
We also know that for Wedneday we have two times tickets for adults compared to child so we have
And using this condition we have:
And solving for X we got:
So then the number of tickets sold for child are 36
Simply move -2 to another side.
Distribute -1/3 in (x+6)
---> Answer
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
