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2 years ago

∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

7 0

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

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Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

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Now, solve. First, divide by 100.

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Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

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Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

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