Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13
You would do three square in length and 31 in width
Answer:
Multiply 8x6 and subtract 2 and 3
Step-by-step explanation:
8x6=48
48-3=45
45-2=43
(a^2)^4 = a^8, and (b^3)^4 = b^12. Thus, the quotient is
a^8
--------
b^12
10.125 as a percentage is 1012.5%