Mark and Don are planning to sell each other their marble collections at a garage sale. If Don has 1 more than 3 times the numbe
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Answer:
Step-by-step explanation:
a). Since, ΔABC ~ ΔWYZ
Their corresponding sides will be proportional.
--------(1)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
BC² = AB² - AC²
BC² = (194)² - (130)²
BC² = 20736
BC = 144
From equation (1)
WY =
WY = = 1.35
WZ =
WZ = = 0.90
b). tan(A) =
=
=
Since, ΔABC ~ ΔWYZ,
∠A ≅ ∠W
Therefore, tangent of angle A and angle W will measure .