Write a similarity statement for the triangles. In Triangle CDE, C=60°, and D=53°. In Triangle FGH, F=60°, and H=67°

The triangles are similar by Angle-Angle-Angle similarity

both triangles vertexes are 60°, 53°, and 67°

Step-by-step explanation:

Step-by-step explanation:

ΔCDE ,

∠C + ∠D + ∠E = 180    {angle sum property of triangle}

60 + 53 + ∠E = 180

       113 + ∠E = 180

               ∠E = 180 - 113

             ∠E =  67

ΔFGH ,

∠F + ∠H + ∠G = 180    {angle sum property of triangle}

60 +  67  + ∠G = 180

      127 + ∠G = 180

               ∠G = 180 - 127

             ∠G =  53

∠C = ∠F

∠E = ∠H

∠D = ∠G

ΔCDE ~ ΔFGH   AA similarity

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11