Answer:
D. 9
Step-by-step explanation:
Let
abc=100a+10b+c
bca=100b+10c+a
cab=100c+10a+b
abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)
=100a + 10b + c + 100b + 10c + a + 100c + 10a + b
Collect like terms
=100a + a + 10a + 10b + 100b + b + c + 10c + 100c
=111a + 111b + 111 c
Factorise
=111(a+b+c)
abc + bca + cab = 111(a+b+c)
Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)
abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)
abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)
abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)
abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)
For the first picture..........
|AB| |BD|
-----=-----
|AC| |DC|
x+8 10
-----=----
2x-5 14
10(2x-5)=14(x+8)
20x-50 = 14x+112
20x-14x = 112+50
6x = 162
x= 162/6
x=27.....
For the second picture.......
AD| |AC|
-----=-----
|DB| |CB|
3 4
--=---
x 7.5
4×X = 3×7.5
x = 22.5/4
x = 5.625....
Answer:
(y-6)/6 = x
Step-by-step explanation:
y+4x=10x-6
Subtract 4x from each side
y+4x-4x=10x-4x-6
y = 6x-6
Add 6 to each side
y +6 = 6x-6+6
y+6 = 6x
Divide by 6
(y-6)/6 = 6x/6
(y-6)/6 = x
Answer:
Step-by-step explanation:
GIRL! You should add diagrams to these types of questions. It would really help
That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.
And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm
