We are forced to calculation the area of the pentagon whose height is given by y=5 tan thetawhere; theta=54°buttan theta=/thusopposite=adjacent tan thetasince5tan54=oppositeadjacent=5Therefore the base of the pentagon will be (5+5)=10Area the a triangle is provided by:A=1/2(base*height)sin thetaThe area of one triangle forming the pentagon will certainly be:A=1/2*(10*5tan54)*sin54A=27.84 square unitsThus the area of pentagon will certainly be:Area=(# triangles)*(area the one triangle)=27.84*5=139.2 square units

The answer is:

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y = 136°

Step-by-step explanation:

first step: settle for x54 + 82 + x = 180x = 180 - 54 - 82x = 44°second step: settle for yx + y = 18044 + y = 180y = 180 - 44y = 136°

Y= 136!The amount of all the angle in any kind of triangle is always 180! I included the two well-known angles, and also then subtracted the sum from 180! I obtained 44!Then i noticed Y is part of a supplementary angle (the two angles same 180), because it’s a directly line!So after i subtracted the amount from 180 and also got 44 ns subtracted 44 from 180 and got 136!
Asystem of linear equations through fewer equations 보다 unknowns is sometimes called an underdetermined system. Can such a system have actually a distinct solution? explain. Choose the exactly answer below. A. Yes, it have the right to have a unique solution. Due to the fact that there are an ext equations than variables, there space no complimentary variables. If the mechanism is consistent and there room no free variables, the solution collection contains a distinct solution. If the device is inconsistent, there is no solution. B. No, the cannot have a distinctive solution. Due to the fact that there are an ext variables 보다 equations, there need to be at least one cost-free variable. If over there is a totally free variable, the solution set contains a distinctive solution. C. No, that cannot have a distinct solution. Due to the fact that there are an ext variables 보다 equations, there should be at the very least one totally free variable. If the linear system is consistent and there is at the very least one cost-free variable, the solution set contains infinitely plenty of solutions. If the linear system is inconsistent, there is no solution. D. Yes, it have the right to have a distinct solution. Because there are an ext variables than equations, there should be at least one complimentary variable. If the straight system is consistent and also there is at the very least one totally free variable, the solution set contains one of two people a distinctive solution or infinitely plenty of solutions. If the straight system is inconsistent, there is no solution.

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