7.2. Proportion Properties http://www.ck12.org
- In the picture,EDAD=BCAC. Findy.
- IfABBE=CDACin the picture above, findBE.
Answers:
- This is an example of anextendedproportion. Substituting in the numbers for the sides we know, we have
4
XY=
3
9 =AC
15. Separate this into two different proportions and solve forXYandAC.4
XY
=
3
9
3
9
=
AC
15
36 = 3 (XY) 9 (AC) = 45
XY= 12 AC= 5
- Substituting in the numbers for the sides we know, we have
6
y=
8
12 + 8
.−→ 8 y= 6 ( 20 )y= 153.
12
BE
=
20
25
−→ 20 (BE) = 12 ( 25 )
BE= 15
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Solve each proportion.
- 10 x=^4235
- x−x 2 =^57
3.^69 = 24 y - 9 x=^16 x