Given the two triangles are similar, what is the value of x? Round to the nearest hundredth.

Question

mathstudent55 · Answer

Figure?

lstrasmann · Answer

A.	x = -1.67
	B.	x = - 0.833
	C.	x = 0.833
	D.	x = 6.67

lstrasmann · Answer

Sorry about that, I couldn't figure out where the pic was saved.

mathstudent55 · Answer

The lengths of corresponding sides of similar triangles are proportional.
Side 20 corresponds to side 8.
Side x + 10 corresponds to side x.
The ratio 20/8 is equal to the ratio (x + 10)/x.
20/8 = (x + 10)/x
Solve the above equation for x. Start by cross multiplying.

lstrasmann · Answer

$$\frac{ 20 }{ 8 }=\frac{ (x + 10) }{ x }$$$$20x = 8(x+10)$$$$20x=8x+80$$$$12x=80$$$$x \approx 6.67$$So it's just a proportion?

lstrasmann · Answer

Can you help me with two more?

mathstudent55 · Answer

Correct.
Yes, because of the statement above about similar triangles.

lstrasmann · Answer

ΔSWK ~ ΔEBT.  Find the value of x and y.
A.	x = 30; y = 62
	B.	x = 62; y = 30
	C.	x = 62; y = 40
	D.	x = 110; y = 40