<h3>
Answer: w = 31</h3>
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Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
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Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
Yes, it gets flipped if you’re dividing by a negative :)
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC; 
in triangle ΔFGH;
Segment 
= 14 Segment 
= 14
Segment 
= 27 Segment 
= 19
Segment 
= 19 Segment 
= 2·y + 5
∡A = 32° ∡G = 32°
∡A = ∠BAC which is the angle formed by segments = 14 and = 19
Therefore, segment = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments = 14 and = 19
Therefore, segment = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴ = = 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6
6*35+ 24*40 = 210+960= $1170
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Given details
To make a complete tour, at least 1 economy seats
and 6 deluxe seats
Maximum passengers per tour = 30
<em />
<em>"Boat Tours makes $40 profit for each </em><em>economy</em><em> seat sold and $35 profit for each deluxe seat sold"</em>
<em> </em>Therefore, to maximise profit, he needs to take more of economy seats
Hence
Let a deluxe seat be x and economy seat be y
Maximise
6 x+ 24y = 30
The maximum profit from one tour is = 6*35+ 24*40 = 210+960= $1170
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brainly.com/question/25828237
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You would just subtract .1978 from 1
