We know that this is a geometric sequence. Keep in mind that in a geometric sequence, the next term is found by shamelessly multiplying it by "some number", namely the "common ratio".
therefore, if you divide any "next term" by the "previous term", the quotient will just be that "some number", thus, if 1.5 ÷ 7.5 will give it to us, and is, yeap, you guessed it, is 2.
you can check say 3 ÷ 1.5 or 6 ÷ 3, you'll see it.
so, we know the common ratio is 2, and the first term is 0.75, so
Answer:
y= x + 3
y = 0 + 3
y = 3
x= 0
Yes (0,3) is a solution
Step-by-step explanation:
Answer:
∠x = 78
Step-by-step explanation:
∠y + ∠1 = 180
=> 125 + ∠1 = 180
=> ∠1 = 180 - 125
=> ∠1 = 55
∠z + ∠2 = 360
=> 313 + ∠2 = 360
=> ∠2 = 360-313
=> ∠2 = 47
∠1 + ∠2 + ∠x = 180
=> 55 + 47 + ∠x = 180
=> ∠x = 180 - 55 - 47
=> ∠x = 78
Answer: 120 cartons
Step-by-step explanation: Since, the grocery clerk displays 15 cartons at the base of the triangle and one at the top. Therefore, one carton is reduced at previous step and so on. Since, this series is in arithmetic progression. Therefore, 120 cartons are needed for the complete display.