# In a right triangle if one acute angle has a measure of 10 x + 3 and the other has a measure of 3x + 9 find the larger of these two angles

QUESTION POSTED AT 01/06/2020 - 04:47 PM

QUESTION POSTED AT 01/06/2020 - 04:47 PM

Hello,

Since we're given that both of these angles are acute(less than 90 degrees), we can form these 2 inequalities: and . Isolating x in both inequalities we get: and . Therefore we have . Now let's form another inequality byadding the 2 original inequalities: . Simplifying we get . Solving for x we get . So now we have .Therefore, x must be positive and for any positive x in this range 10x+3 is greater than 3x+9. Let me know if that doesn't make sense!

Since we're given that both of these angles are acute(less than 90 degrees), we can form these 2 inequalities: and . Isolating x in both inequalities we get: and . Therefore we have . Now let's form another inequality byadding the 2 original inequalities: . Simplifying we get . Solving for x we get . So now we have .Therefore, x must be positive and for any positive x in this range 10x+3 is greater than 3x+9. Let me know if that doesn't make sense!

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QUESTION POSTED AT 01/06/2020 - 04:49 PM

QUESTION POSTED AT 01/06/2020 - 04:49 PM

QUESTION POSTED AT 01/06/2020 - 04:49 PM

QUESTION POSTED AT 01/06/2020 - 04:47 PM

QUESTION POSTED AT 01/06/2020 - 04:47 PM

QUESTION POSTED AT 01/06/2020 - 04:47 PM