Answer:
118
Step-by-step explanation:
AB and CD are parallel lines
∠ ABC + ∠DCB = 180 {Co- interior angles are supplementary}
3n - 47 + n + 7 = 180
3n + n - 47 + 7 = 180 {Combine like terms}
4n - 40 = 180
Add 40 to both sides
4n = 180 + 40
4n = 220
Divide both sides by 4
n = 220/4
n = 55
∠ABC = 3n - 47 = 3*55 - 47
= 165 - 47
∠ABC = 118
Answer:
Perimeter = 14 + 2sqrt(17)
Area =28
Step-by-step explanation:
FG = 8 counted
EH = 6 counted
using the pythagorean theorem
height = 4 and the base = 1 in the right triangle
HG^2 = 4^2 + 1 ^2
hg^2 = 16+1
hg^2= 17
hg= sqrt(17)
ef^2 = 4^2 + 1 ^2
ef^2 = 16+1
ef^2= 17
ef=sqrt(17)
Perimeter = EF+FG + GH+HE
sqrt(17)+ 8+ sqrt(17) + 6
14 + 2sqrt(17)
A =1/2 (b1+b2) * h
b1 =EH b2 = FG and h = 4 height that we used in the perimeter
= 1/2 (6+8) * 4
= 1/2 * 14*4
=28
32 + 240x + 720x^2 +1080x^3 + 810x^4 + 243x^5
<span>3x + 2y = 13
2x + 3y = 12</span>