Answer:
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Which language is thir?
Answer:
d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°
Step-by-step explanation:
m<ABF = 47° (given)
m<FBE = 83°
✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)
m<ABD + 47° + 83° = 180° (substitution)
m<ABD + 130° = 180°
Subtract 130 from each side
m<ABD = 180° - 130°
✅m<ABD = 50°
✍️m<GBC = m<ABF (vertical angles)
✅m<GBC = 47° (Substitution)
✍️m<EBC = m<ABD (Vertical angles)
✅m<EBC = 50° (substitution)
✍️m<DBG = m<FBE (vertical angles)
✅m<DBG = 83° (Substitution)
Answer:
2x + 5y + 28 = 0
Step-by-step explanation:
since they are perpendicular,
m1 ×m2 = -1
5/2 × m2 = -1
m2 = -2/5
now,
y -y1 = M (x-x1)
y - (-4) = -2/5 ( x - (-4) )
y +4 = -2/5 ( x + 4 )
5 ( y +4 ) = -2 ( x+4)
5y +20 = -2x - 8
2x + 5y +20 + 8 =0
2x + 5y + 28 = 0
Answer:
Women: 448 Men: 560 Children: 1232
Step-by-step explanation:
5+4+11 = 20/2240 = 112
Women = 4 x 112 = 448
Men = 5 x 112 = 560
Children = 11 x 112 = 1232
Total = 1232 + 560 +448 = 2240
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)
Hope this helps!
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