Hi there!
The perimeter is when you add all the sides of a shape. In a rectangle, two sides are the same, and so are the other two. So, if the two sides are 2x-3 and x+2 the expression will be:
2(2x-3) + 2(x+2)
If we were to simplify this, it would be
4x-6+2x+4
6x-2
Hope this helps!
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
The laws of sines is already indicated in the provided images.
1. sin20/3.3 = sinC/5.4
Thus, angle C is 34.03 degrees. To find angle B: 180 - 20 - 34.03 = 126 degrees. Using the law of sines,
sin20/3.3 = sin(126)/b
b = 7.8 units
From this answer, we can already tell that the answer is letter C: <span>3 units and 7.8 units.
2. Angle J = 180 - 120 - 40 = 20 degrees. Then,
sin(20)/2 = sin(120)/k
k = 5.1 units</span>
