Answer:
D. Jessie needs to buy more eggs, flour, butter, and sugar.
Step-by-step explanation:
it is good to have more then none
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Answer:
x= 25
3x-4=71
2x+3=53
2x+6=56
Step-by-step explanation:
Answer:
(d) 108°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. Conversely, the arc is twice the measure of the inscribed angle it subtends.
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<h3>using the relation</h3>
We can define the vertex of the marked angle as point Q. Arc XY is twice the measure of inscribed angle XQY:
arc XY = 2(54°) = 108°