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lesya [120]
3 years ago
15

WILL GIVE BRAINLIEST AND 20 POINTS!Simplify 4m 7m 12m 36m​

Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

12m

Step-by-step explanation:

Given: $ \frac{\frac{16m^2}{m^2 + 5}}{{\frac{4m}{3m^2 + 15}}} $

This is nothing but

$ \frac{16m^2}{m^2 + 5} \times \frac{4m}{3m^2 + 15} $ because we have $\frac {\frac{a}{b} } { \frac{c}{d} } = \frac{a}{b} \times \frac{d}{c} $

Now, this becomes $ \frac{16m^2}{m^2 + 5} \times \frac{3(m^2 + 5)}{4m} $.

Cancelling the common terms, we get $ 3 (4m) = 12m $.

Hence the answer

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Given:<br> m∠LON=77 °<br> m∠LOM=9x+44 °<br> m∠MON=6x+3 °<br><br> Find ∠MON
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m\angle MON=15^o

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m\angle LON=m\angle LOM+m\angle MON ---> by addition angle postulate

substitute the given values

77^o=(9x+44)^o+(6x+3)^o

solve for x    

77=(15x+47)

15x=77-47                                

15x=30\\x=2                                                

<em>Find the measure of angle MON   </em>

m\angle MON=(6x+3)^o      

substitute the value of x        

m\angle MON=(6(2)+3)=15^o                                                                        

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