Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
As shown in the attachment,
Step-by-step explanation:
Answer:
233
Step-by-step explanation:
2ed
The answer is D.
Since the two triangles are congruent, they would have equal angles.
The reason why the other answer choices are wrong...
A) ∠S is equal to ∠Y, not ∠Z.
The angle that is equal to ∠Z is ∠T.
B) Line ST is equal to Line YZ, not Line XZ.
The Line that is equal to Line XZ is Line RT.
C) Line RS is equal to Line XY, not Line ST.
The Line that is equal to Line ST is Line YZ.
Hope this helped! Brainliest is always welcome :)
<span>152.5 is 250% of 61
Hope this helps! (tried to do an explanation and my browser crashed...) </span>
