Answer:
Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
y = kx
where k is the constant of proportionality
y = 1/2 x so k= 1/2
Answer: 61.6
Step-by-step explanation:
Use a calculator if you search it up and plug in the number it’ll give you the answers
Answer:
(a+2b)(3x+2y)
Step-by-step explanation:
3ax+2ay+6bx+4by = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
