Answer:
20
Step-by-step explanation:
..
Answer:
See proof below
Step-by-step explanation:
One way to solve this problem is to "add a zero" to complete the required squares in the expression of xy.
Let
and
with
. Multiplying the two equations with the distributive law and reordering the result with the commutative law, we get ![xy=(m^2+n^2)(l^2+k^2)=m^2l^2+m^2k^2+n^2l^2+n^2k^2=n^2l^2+m^2k^2+m^2l^2+n^2k^2](https://tex.z-dn.net/?f=xy%3D%28m%5E2%2Bn%5E2%29%28l%5E2%2Bk%5E2%29%3Dm%5E2l%5E2%2Bm%5E2k%5E2%2Bn%5E2l%5E2%2Bn%5E2k%5E2%3Dn%5E2l%5E2%2Bm%5E2k%5E2%2Bm%5E2l%5E2%2Bn%5E2k%5E2)
Now, note that
by the commutativity of rational integers. Add this convenient zero the the previous equation to obtain
, thus xy is the sum of the squares of
.
Answer:
a) 5.7 cm
b) 3.05 cm
Step-by-step explanation:
a)
Since BE is parallel to CD,
Then AB/AC = BE/CD
So Length of CD = 12.3/8.2 x 3.8 = 5.7 cm
b)
AB/AC = AE/AD
So length of AE = 8.2/12/3 x 9.15 = 6.1 cm
ED = AD - AE = 9.15 - 6.1 = 3.05 cm