Supplementary means that the angles have to add up to 180, so you have your equation.
180=5x+17x-18
198=22x
x=9
Then to find the measures of the angles, you plug x back in.
m∠ABD=5(9)=45 degrees
m∠BDE=17(9)-18=153-18=135 degrees
C. x³-4x²-16x+24.
In order to solve this problem we have to use the product of the polynomials where each monomial of the first polynomial is multiplied by all the monomials that form the second polynomial. Afterwards, the similar monomials are added or subtracted.
Multiply the polynomials (x-6)(x²+2x-4)
Multiply eac monomial of the first polynomial by all the monimials of the second polynomial:
(x)(x²)+x(2x)-(x)(4) - (6)(x²) - (6)(2x) - (6)(-4)
x³+2x²-4x -6x²-12x+24
Ordering the similar monomials:
x³+(2x²-6x²)+(-4x - 12x)+24
Getting as result:
x³-4x²-16x+24
Answer:
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Step-by-step explanation:
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2/5 in decimal form would be 0.4
Answer:
The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²
Step-by-step explanation:
Figure is attached with required naming.
Length of the Rectangle 1 = 40 m
width of the Rectangle 2 = 2000 cm = 20 m
radius of semi circle 2 =
radius of semi circle 3 =
length of the rectangle 4 = 25 m
width of the rectangle 4 = 800 cm = 8 m
length of the rectangle 5 = 10 m
width of the rectangle 5 = 800 cm = 8 m
Total Perimeter of the pitch and seating area
= length of rectangle 1 + circumference of semi circle 2 + circumference of semi circle 3 + length of rectangle 4 + 2 × width of rectangle 4 + length of rectangle 5 + 2 × width of the rectangle 5 + (length of rectangle 1 - length of rectangle 4 - length of he rectangle 5)
= 40 + π(10) + π(10) + 25 + 2 × 8 + 10 + 2 × 8 + ( 45 - 25 -10 )
= 40 + π(10) + π(10) + 25 + 16 + 10 + 16 + 10
= 117 + 20π
= 179.83 m (approx.)
Total area of the pitch and seating area
= Area of the Rectangle 1 + Area of semi circle 2 + area of semi circle 3 + area of rectangle 4 + area of rectangle 5
= 40 × 20 + π(10)² + 25 × 8 + 10 × 8
= 800 + 100π + 200 + 80
= 1080 + 314
= 1394 m²
Therefore, The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²