<h3>Given Equation:-</h3>

<h3>Step by step expansion:</h3>



























Answer: 225 square feet
Step-by-step explanation:
We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.
Area of triangle 1 = 1/2 base × height
= 1/2 × 12 × 8
=96/2
=48
Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)
Area of triangle 3 = 1/2×base×height
= 1/2 × 6 ×9.5
= 57/2
=28.5
Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)
Area of the rectangle = length×breadth
=12 × 6 =72
Total surface area = addition of all the areas of the triangles and the rectangle
Total surface area= 48+48+57+57+72 = 225
Therefore, the total surface area is 225 square feet
Diameter of the dartboard as given in the question = 18 inches
Then
Radius of the dartboard will be = 18/2 inches
= 9 inches
We already know that
Circumference of a circle = <span>2π</span>r
We also know that the value of <span>π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
= 56.548 inches
= 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.
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Answer:
m<FLS=108 degrees
m<SLT=72 degrees
m<ALG=18 degrees
Step-by-step explanation:
(3x) + (4x +12) = 180
x = 24
4x + 12 = 108 = m<FLS
180 - 108 = 72 = m<SLT
SLG = 72 + 90 + x
x = 18 = m<ALG