The distance between the two points is 22.14 units
<h3>How to determine the distance between the two points?</h3>
The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
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1. Given
2. Definition of midpoint
3. Definition of midpoint
4. Definition of vertical angles
5. Vertical angles are congruent
6. SAS
7. CPCTC
The length of vacation or time when each resort cost about the same is 32 days.
<h3>How to calculate the time?</h3>
From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.
The equation to compute the time will be:
1350 + 149x = 900 + 135x
Compute like terms
149x - 135x = 1350 - 900
14x = 450
x = 450/14
x = 32
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The triangle has no obtuse angles.
Obtuse angles are greater than 90 degrees, or are wider than a right angle. These are all acute angles in this diagram because they are all less than 90 degrees.
