Answer:
The distance the marina can travel = = 48 miles
Step-by-step explanation:
The rate going out against the current is = u - v = 20
The rate going out with the current is = u + v = 30
Let the distance traveled by the motorboat =
Total time the boat can travel = 4 hours
⇒ Total time = ( Time taken by boat to go against the current ) + ( Time taken by boat to go with the current )
⇒ 4 =
⇒ 4 =
⇒ 4 =
⇒ = 48 miles
This is the distance the marina can travel.
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
<h3>What is the AA Similarity Theorem?</h3>The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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