A man is jogging up a hill at 3 ft per second and then stumbles back 4 feet.
If lines a and b are parallel, then aº = 79º = dº = bº.
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
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3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed
She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds
2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over