Scale factor = new length/old length
scale factor = 10/2.5 = 4
The scale factor is 4.
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
The complete statement is:
- Determine the number of tables by dividing 754 by 6
- If there is a remainder, the answer will need to be rounded.
- There is a remainder, so 126 tables are needed.
<h3>How to determine the number of tables?</h3>
The given parameters are:
Students = 754
Student per table = 6
The number of tables is calculated as:
Table = Students / Student per table
This gives
Table = 754/6
Evaluate the quotient
Table = 125.7
Approximate
Table = 126
Hence, the complete statement is:
Determine the number of tables by dividing 754 by 6
If there is a remainder, the answer will need to be rounded.
There is a remainder, so 126 tables are needed.
Read more about quotient at:
brainly.com/question/629998
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