Geometry: Answers

[ohkei]

Classes were suspended today...

Okay, I got the answers a while ago, and I'm posting it up. :D

>> Find the measure of the smaller angle if its complement is 30 more than four times the smaller angle.

x+y = 90
y = 4y+30
(4x+30)+y = 90
5y = 90-30
5y = 60
y = 12º

x = 4(12) + 30
x = 48 + 30
x = 78º

y = 12º
x = 78º

>> Find the measures of two complementary angles such that the larger angle is six less than five times the smaller angle.

x + y = 90
5y-6+y = 90
6y = 90 + 6
y = 16º

x+16 = 90
x = 90-16
x = 74º

y = 16º
x = 74º

>> The smaller of two complementary angles is less than the larger angle. Find the measure of the angles.

x + y = 90
x = y-46
y = 46+y = 90
2y = 90+46
2y = 136

y = 68º
x = 22º

>> What is the measure of the smaller angle of two supplementary angles if twice the larger angle is less than is ten less than three times the smaller angle.

x+y = 180
3x-10 = 2y
3x-10/2 = y

x+3x/2-10/2 = 180
x+3x/2-5 = 180
x+3x/2 = 185
5x/2 = 185

5x = 185 ・ 2
5x = 370
x = 370/5

x = 74º
y = 106º

>> The sum of the measures of two acute angles is 120. The supplement of the smaller angle is 10 more than six times the complement of the larger angle. Find the measures of the two acute angles.

a+b = 120
a = 120-b

180-a = 6(90-b)+10
180-120+b = 550-6b
6b+b = 550-60
7b = 490
b = 70º

a = 120-70
a = 50º

There you have it!!! And I still don't have a clue on what's going on. Anyway, that's that. Sorry for the Math spam. >_>;;

Thank you, megrimm !
You even helped me with my English homework. ;A; *tear*


 
 

And as promised, three icons. Since you didn't want the fic, I'm not writing any. :P
Plus, If you want the colored Bunny!Hiruma, I still have it. I wasn't sure how I'd make it as an icon, so if you want to do something with it, go ahead.

And I know I probably didn't get the coloring right, DON'T RUB IT IN! D: