Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...

Answer:
a is equal to 3 ...................
Answer:
Corresponding Angles sum to 180°
Step-by-step explanation:
If a pair of parallel lines is cut by transversal that is not perpendicular to the parallel lines as shwon in the figures (attached below), then;
Four angles are acute, and four are obtuse.
- All four acute angles are equal: 2=3=6=7
- All four obtuse angles are equal: 1=4=5=8
- The sum of acute and obtuse angles is 180: for example, 1+2=180, 3+4=180, 5+6=180, 7+8=180
so the best attribute for the angle pair formed by two parallel lines intersected by a transversal is that Corresponding Angles sum to 180°.
Answer:

Step-by-step explanation:
The area of the circle is 
The area of the triangle is 
Hence, the probability of a randomly selected point within the circle falls in the red shaded area is 