Angie is x years old. her sister is 12 years older than her while their mother is twice as old as her sister. betty is 3 years younger than angie while betty's mother is 4 times as old as betty. express angie's mother's age in terms of x. express betty's mother's age in terms of x. if angie's mother is 6 years older than betty's mother, find angie's age

Step-by-step explanation:

Parking lot:

Angie=x

Sister=x+12

Amom=2•(sister) or 2(x+12)=2x+24

Betty=x-3

Bmom=4•(betty) or 4(x-3)=4x-12

Part A: Amom=2x+24

Part B: Bmom=4x-12

PartC:

x=angie

Amom=Bmom+6

2x+24=4x-12+6

2x+24=4x-6

24-6=4x-2x

18=2x

9=x

Angie is 9 years old.

for the points! : )

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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