Part A: First, list multiples for each number. The multiples of 5 are: 5, 10, 15, 20, 25 30, 35, 40, 45, 50, 55, 60, etc. The multiples of 12 are: 12, 24, 36,48, 60, etc. The least common multiple is the first common multiple between the two, in this case being 60. The LCM of 5 and 12 is 60.
Part B: SImilar to above, list all factors for each number. 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 81: 1, 3, 9, 27, and 81. The greatest common factor is the highest common number, 9 in this case. The GCF of 72 and 81 is 9.
Part C: To rewrite, we need to take out the 9 by dividing. 72/9 is 8. 81/9 is 9. Therefore, we would get 9(8+9), to equal 153. Your answer here is 9( 8 + 9 ). Hope this helped!
Similar triangles have their corresponding side lengths proportional by a fixed scale factor.
We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.
Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.
Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.
This is because whenever there are two negative signs, multiply it.
Negative x Negative = Positive
We have to do, 24 + 12 which is 36. Finally, we just put the greater number's sign to the answer. 24 is greater than 12, therefore, we put a negative sign before 36.
