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Rzqust [24]
2 years ago
9

Determine the value of x for the diagram shown.

Mathematics
2 answers:
TEA [102]2 years ago
4 0

Answer:

C) 60

Step-by-step explanation:

180 - 120

valina [46]2 years ago
4 0

Hello there,

In order to solve this equation we look at the relationship between the two triangles.

A straight line is equal to 180° so...

  • 180 - 120 = 60°

Since the triangle on the left has two sides that are equal that means the angle measure is also equal for those two sides.

Therefore, x would be equal to 60° and the correct answer would be C.

Hope I helped,

Amna

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Answer:

Step-by-step explanation:

6v + 12b = 504       eq1

2v +  5b = 204        eq2

6v +  15b = 612       eq2  times 3    

0     -3b   = 504 - 612        subtraction of the two bolded eqs

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    Another way to solve the problem

6v + 12b = 504        I would eliminate the v term by multiplying the bottom

2v +  5b = 204        equation by -3 on BOTH sides and then add the two eqs

   2v +  5b  = 204

-3(2v +  5b) = -3(204)

 -6v  -  15b  =  -612

   

6v  + 12b  =   504

-6v  -  15b  =  -612            add the like terms

(6v + (-6v)) + (12b + (-15b)  =  504 + (-612)

(6v -6v)) + (12b - 15b)  =  504 - 612)

    0       +         -3b     =    - 108            solve for b   divide both sides by -3

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        2v +  5b = 204      b=36

        2v +  5(36)  = 204                 substract 5 times 36 from both sides

                 2v   =   204 - 180

                    v  =    24 / 2

                    v  =  12

NOW CHECK the values for b and v using the OTHER eq

       6v      +     12b      =    504

       6(12)   +   12(36)    =    504

         72    +     432      =    504

                        504      =    504           IT CHECKS

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