Answer:
74º
Step-by-step explanation:
- Ray TV bisects ∠RTS, so ∠RTV=∠STV=(16x-6)º
- We also know that ∠RTS=(26x+18)º
- So, (16x-6)º+(16x-6)º=(26x+18)º
- We don't need parenthesis, 16x-6+16x-6=26x+18
- Combine like terms, 32x-12=26x+18
- Add, 32x=26x+30
- Subtract, 6x=30
- Divide, x=5
- ∠RTV now is [16(5)-6]º=(80-6)º=74º
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The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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Answer:
Step-by-step explanation:
He earned $15.20. Just multiply the 2.00x4 and the 2.40x3
