Answer:
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Step-by-step explanation:
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Answer: ∠ABE=20°
Step-by-step explanation:
∵ AB=BC
∴ ΔABC is a isosceles triangle
∵ ∠A=30
∴ ∠C=30
∵ The interior angle sum of triangle is 180°
∵ ∠A+∠B+∠C=180
30+∠B+30=180
∠B+60=180
∠B=120 (∠ABC)
∵ ∠EBD+∠ABE+∠ABC=linear pair
∴∠EBD+∠ABE+∠ABC=180°
4x+2x+120=180
6x+120=180
6x=60
x=10
∠ABE=2x=2(10)=20°
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Answer:
126 square feet
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh . . . . . where b is the base length and h is the height
Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...
A = (1/2)(6 ft)(14 ft) = 42 ft^2
The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...
LA = 3·(42 ft^2) = 126 ft^2