Right triangle abc is reflected over ac, then dilated by a scale factor of to form triangle dec. which statements about the two triangles must be true? check all that apply. △abc ~ △dec ∠b ≅ ∠e 3bc = 2ec 3de = 2ab 3m∠a = 2m∠d 2m∠a = 3m∠d

a, b, and d

step-by-step explanation:

a: it was used use a rigid motion and a dilation so the triangles are similar

b: corresponding angles in similar figures are congruent

d: corresponding sides in similar figures are proportional

a.△abc ~ △dec

b.∠b ≅ ∠e

d.3de = 2ab

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

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)