Answer: x=32
Step-by-step explanation:
Because a triangle is 180°, the missing angle in the triangle would be 60°.
Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.
The whole equation simplified to one answer is 5
Answer:
The Answer is B.
Step-by-step explanation:
I got it right on my test
For further evidence here is a picture of the answer
The rest of the question is the attached figure.
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Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW² → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW² → (2)
From (1) , (2) ⇒⇒⇒ ∴ WA = WB →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW² → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW² → (5)
From (4) , (5) ⇒⇒⇒ ∴ WC = WB →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17
The correct answer is option D. WB = 17
The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars
<em><u>Solution:</u></em>
Given that,
Cost for reclining seat = $ 197
Cost for twin sharing room = $ 490
We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms
<em><u>Cost for reclining room when "x" passengers booked is:</u></em>
Cost for reclining room = $ 197x
<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>
Cost for twin sharing room = 
Cost for twin sharing room = 98y
<em><u>Total cost is given as:</u></em>
Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

Thus total cost is (197x + 98y) dollars