Answer:
Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm
Step-by-step explanation:
In triangle Δ XYZ ,
A is the mid point of XY
B is the midpoint of YZ
C is the mid point of XZ
AY = 7
BZ =8
XZ = 18
The mid - point theorem states that,
The segment formed by connecting two mid - points of a triangle is parallel to the third side and half as long
AY = 7 then BC = 7 cm
BZ = 8 then AC = 8 cm
XY = 18 then AB = 9 cm
Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
All triangles equal 180 so the answer would be set up as follows:
180-60-90 (right triangle) = 30 degrees
30 degrees is the answer