Answer:
above is the answer to the question
Answer:
The largest three-digit number divisible by 24 and 54 is:
Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
- 24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).
- 24*40= 960/54= 17.77 (this is not).
- 24*39= 936/54= 17.33 (this is not).
- 24*38= 912/54= 16.88 (this is not).
- 24*37=888/54= 16.44 (this is not).
- <u>24*36= 864/54= 16 (This is the correct</u>).
Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
Rotating and translating the triangle are illustrations of transformations
The ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
<h3>How to transform the triangle</h3>
The coordinates of the pre-image of the triangle are:
A = (1, 3)
B = (-2, 2)
C = (4, 0)
When the triangle is rotated 180 degrees, the rule of transformation is:
(x,y)→(−x,−y)
So, we have:
A' = (-1, -3)
B' = (2, -2)
C' = (-4, 0)
When the triangle is translated 5 units down, the rule is:
(x,y)→(x,y-5)
So, we have:
A' = (-1, -8)
B' = (2, -7)
C' = (-4, -5)
Hence, the ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
Read more about transformation at:
brainly.com/question/4289712
7? Let me know if I’m wrong. Have a great day❤️