Answer:
a² + b² = c · (e + d) = c × c = c²
a² + b² = c²
Please see attachment
Step-by-step explanation:
Statement, Reason
ΔADC ~ ΔACB, Given
AC/AD = BA/AC, The ratio of corresponding sides of similar triangles
b/e = c/b
b² = c·e
ΔBDC ~ ΔBCA, Given
BC/BA = BD/BC, The ratio of corresponding sides of similar triangles
a/c = d/a
a² = c·d
a² + b² = c·e + c·d
a² + b² = c · (e + d)
e + d = c, Addition of segment
a² + b² = c × c = c²
Therefore, a² + b² = c²
Answer:
9
Step-by-step explanation:
you can set up a proportion for it (i included a picture of it)
Divide his points by teams points and multiply by 100:
160/640 = 0.25
0.25 x 100 = 25%
He scored 25% of the total points.
(15(.17)+.29x)/(15+x)=.23
2.55+.29x=3.45+.23x
.06x=.9
x=15
So 15L of the 29% solution was added to the 15L of 17% solution to make
30L of 23% solution.