It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
Answer:
x = 7
AC = 44
Step-by-step explanation:
Find the diagram attached
According to the parallelogram,
BD = 2BE
5x-3 = 2(2x+2)
5x-3 = 4x+4
5x-4x = 4+3
x = 7
Hence the value of x is 7
Also AC = 2AE
AC = 2(4x-6)
AC = 8x - 12
AC = 8(7) - 12
AC= 56-12
AC = 44
Hence the measure of AC is 44
Answer:
3
x
y
2
Step-by-step explanation:
Answer: Rotation, Translation and Reflection
Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.
