This is a question on proportions in geometry. Image has been shared.
This is a question on proportions in geometry. Image has been shared.
a+b 5
------- = ---
2a-b 4
b 5
-------- = ---- => 9b = 5a+45 => b = (5a+45)/9
a+9 9
a+b 5
------- = --- => 4a+4b = 10a-5b
2a-b 4
9b = 6a
9(5a+45) =6a divide both sides by 3
3(5a+45) = 2a
15a +135 = 2a
13a = -135
a = -135/13 = -10,38
a= -10,38
9b=6a
3b=2a
3b = 2(-10,38)
3b = -20,76
b = -20,76/3
b = -6,92
hope this helped
(a + b)/(2a - b) = 5/4 b/(a + 9) = 5/9
4(a + b) = 5(2a - b)
4a + 4b = 10a - 5b
4a - 10a = -5b - 4b
-6a = -9b
6a = 9b............(a)
b/(a + 9) = 5/9
9b = 5(a + 9)
9b = 5a + 45 Recall from (a) 9b = 6a
6a = 5a + 45
6a - 5a = 45
a = 45
9b = 6a
9b = 645
b = 645/9 = 30
a = 45, b = 30