Can someone help me with this. (find the missing length. The triangles in each paor are similar

12

Step-by-step explanation:

Since the triangles are similar (and it's clear which sides are correlated to which), we can tell than CB/SB = DB/TB

CB=SB+CS=24+18=42

42/24=(9+TB)/TB

42*TB=24*(9+TB)

42*TB = 24*9+24*TB

18*TB=24*9

24*9/18=TB=12

answer: what are the following choices

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)