Step-by-step explanation:
first do prime factorization of 324= 2×2×3×3×3×3
= 2 square, 3 square,3 square
therefore 324 is a perfect square
Now,
prime factorization of 588=2×2×3×7×7
= 2 square,7 square ,3
therefore 588 is not a perfect square
Answer:
<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.
So, 1 yard, 2 feet and 4 inches ![=[(1*36)+(2*12)+4]inches = 64](https://tex.z-dn.net/?f=%3D%5B%281%2A36%29%2B%282%2A12%29%2B4%5Dinches%20%3D%2064)
inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u> 
inches.
Now....
1856 inches
Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
The rule seems to be to add 8. 10+8=18+8=26+8=34+8=42. I hope this helps!
Let's assume length of the room as y
so the width of the room = y - 5
Area
y * (y - 5) = 750
The reasons would be:
alternate interior angles
vertical angles
AAA (all angles are congruent)
Since we know that the two line segments are parallel, this means that BC is a transversal. Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.
AEB and DEC are vertical angles, since they share only a vertex.
This gives us 3 congruent angles, so the triangles must be similar.
