A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, .... The least common multiple (LCM) of two numbers is the smallest number (not zero) that is amultiple of both.
Step-by-step explanation:
Consider Similarity and enlargement
To get the enlargement factor,
Take the ratio result of any two similar sides. i.e
PQ/AB = 3.6/2 = 1.8
The enlargement factor is 1.8
To get ST, consider ED then multiply it by the enlargement factor. i.e
= 5 x 1.8
= 9
Answer:
3/5 or
0.6
Step-by-step explanation:
You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.
x - 2/5 = 1/5 Add 2/5 to both sides
x - 2/5 + 2/5 = 1/5 + 2/5 The left side cancels to 0.
x = 1/5 + 2/5 The denominators (bottom the fraction) are the same. Just add the tops.
x = (1 + 2)/5
x = 3/5
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If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5
2
÷
5
=
0.4
By the same method, 1/5 = 0.2
Substitute into the original equation
x - 0.4 = 0.2 Add 0.4 to both sides
x - 0.4 +0.4 = 0.2 + 0.4 The left side reduces just to x
x = 0.2 +0.4
x = 0.6
If you let your calculator do the work, like this
3
÷
5
=
0.6
The answers are the same.
The perimeter of these can be found by adding length and width and then multiplying by two.
Rectangle A: (with all of the variables already doubled)
2x + 16 + 2x - 2
2x + 2x + 16 - 2
4x + 14
So rectangle A's perimeter is 4x + 14.
Rectangle B: (Still with all the variables already doubled)
8x + 10 + 6x - 4
8x + 6x + 10 - 4
14x + 6
So rectangle B's perimeter is 14x + 6
And now to subtract the two.
(7x + 3) - (4x + 14)
14x + 6 - 4x - 14
14x - 4x + 6 - 14
10x - 8
So it would be C.
