Answer:
Last answer choice
Step-by-step explanation:
The AAS congruence theorem uses two adjacent angles, followed by a side length on the side (not in between the angles.) Therefore, the first answer is ruled out (because it deals with angles and not sides), and the second answer is ruled out because it involves side lengths between angles. LP=MO may be true, but it does not compare the two triangles that we are interested in. However, the last answer choice is correct, because a midpoint divides a line exactly in half, meaning that both halves are the same length and therefore congruent. Therefore, the last answer choice is correct. Hope this helps!
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
You didnt include the graph oop
Step-by-step explanation:
Answer:
His 55 kg of cement is 5 kg short of the 60 kg he needs.
Step-by-step explanation:
Let r be a ratio useful in determining how much of each ingredient Henry needs:
4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.
4/8 of the total 120 kg must then be 60 kg made up of cement;
3/8 must then be 45 kg made up of sand; and
1/8 must then be 15 kg made up of gravel
His 55 kg of cement is 5 kg short of the 60 kg he needs.