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goldenfox [79]
3 years ago
15

PHOTO ABOVE (13x-57). (6x-10). Z. Find the values of x and z

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0
X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
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Check the picture below.

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------\\
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You have:

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This gives you the rule how to find next terms:

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a_5-a_4=9.5\cdot 3^3,\\ \\a_5-127=256.5,\\ \\a_5=127+256.5=383.5.

2.

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