The two triangles below are similar. what is the similarity ratio of δxyz to δabc? triangle xyz is shown with xz measuring 10 and yz measuring 30. triangle abc is shown with side ac measuring 15. 1: 2 2: 1 3: 2 2: 3

XZ in triangle XYZ corresponds to AC in triangle ABC

So the ratio is 10:15  

which simplifies to 2:3   answer

The answer is 2:3 - just took the quiz

Step-by-step explanation:

x = -5 + 5√3

Step-by-step explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

x = [-b ± √(b² - 4ac)] / 2a

x = [-10 ± √(10² - 4(1)(-50))] / 2(1)

x = [-10 ± √(100 - (-200))]/2

x = [-10 ± √300]/2

x = [-10 ± 10√3]/2

x = [-5 ± 5√3]

because x is a unit of length, it is positive

x = -5 + 5√3