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
1 2/3y = 3x
A picture is worth a thousand words
Answer:
4.8
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
Answer: 0
Step-by-step explanation:
[24 - (15 + 2) +3] -9
[24-(17) +3] -9
[7 +3] -9
9 - 9 = 0