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Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
Cross multiply:
Distribute the '6':
Combine like terms and simplify:
Therefore, the length of CD is 3.
Answer:
41 units
Step-by-step explanation:
The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.
c² = a² + b²
d² = 9² + 40²
d = 41
The diagonal is 41 units long.
Answer:
1. A. similar
2. C.
3. B. all congruent figures are also similar figures.
4. B. 22.5
5. D. two hexagons
Answer:
$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.
Step-by-step explanation:
We are going to assume that a month has 30 days.
- First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.
- We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars
- He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66
- The problem doesn't tell us that there were unhappy customers that day so that amount is zero.
- We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.
Thus, the profit for that day is:
1600 - 1300 - 2.66 + 100 = 397.34
<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
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