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zimovet [89]
2 years ago
9

Triangles-- find the M<ECD if ​ABC angels are 31 degress.picture added​

Mathematics
1 answer:
never [62]2 years ago
5 0

Answer:

Step-by-step explanation:

180° - 2 × 31° = 118° is measure of an angle which is vertical to ∠ECD ⇒

m∠ECD = 118°

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

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

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

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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Step-by-step explanation:

given

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