Answer:
∠AEC = 139°
Step-by-step explanation:
Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle
Substitute values into the equation
11x - 12 + 4x + 1 + 4x + 1 = 180, that is
19x - 10 = 180 ( add 10 to both sides )
19x = 190 ( divide both sides by 19 )
x = 10
Hence
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence
∠AEC = (15 × 10) - 11 = 150 - 11 = 139°
Answer:
x=mc2 + 86
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
∠A + ∠B + ∠C = 180 { Angle sum property of triangle}
42 + ∠B + 60 = 180
∠B + 102 = 180
∠B = 180 - 102 = 78
In similar triangles, corresponding angles are congruent.
∠S ≅ ∠B
∠S = 78°
Answer: To find the cost to print a circular frame, we need to first find the area of circle.
Given: 
We know that:
Area of circle 


Also we are given cost per square foot is $27
Therefore, the cost to print a circular sign with a radius of 1.1 feet is:
or $102.58