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seraphim [82]
3 years ago
10

Write and solve an equation to find the values of d and w .

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

d = 65°

w = 55°

Step-by-step explanation:

m∠DAC +∠m∠CAB = 60

m∠DAC + 35 = 60

m∠DAC = 25

m∠DAC + d = 90

25 + d = 90

d = 65°

m∠GAF + w + d = 180

60 + w + 65 = 180

w + 125 = 180

w = 55°

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Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

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Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

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Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

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Maksim231197 [3]

Step-by-step explanation:

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