The two triangles are similar.What is the value of x?Enter your answer in the box.x =

Answer:x = 5Step-by-step explanation:Looking at the ratios of height to base:Smaller triangle   3x + 1 : 12Larger triangle   4x : 3 + 12  =  4x : 15Therefore as triangles are similar:3x + 1 : 12  =  4x : 15Write as fractions:⇒ [tex]\dfrac{3x+1}{12}=\dfrac{4x}{15}[/tex]Cross multiply and solve for x:⇒ 15(3x + 1) = 12 · 4x⇒ 45x + 15 = 48x⇒ 15 = 3x⇒ x = 5