Answer: Choice A
If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.
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8x+4 would be the answer if you combine like terms
Answer:
b) change the places of the numbers in the numerator and the denominator for the second fraction
Step-by-step explanation:
In the phrase "keep change flip":
You "keep" the first fraction.
"Change" the division sign into a multiplication sign.
"Flip" (or switch) the places of the numerator and denominator in the second fraction.
Example:
÷ 

Hope this helps.
9514 1404 393
Answer:
(c) BK = 65
Step-by-step explanation:
Corresponding sides are proportional in similar triangles, so ...
ZT/ZQ = KF/KB
27/(2x +7) = 45/(4x+1)
27(4x+1) = 45(2x +7) . . . cross-multiply
3(4x +1) = 5(2x +7) . . . . divide by 9
12x +3 = 10x +35 . . . . . eliminate parentheses
2x = 32 . . . . . . . . . . . . . subtract 10x+3
x = 16 . . . . . divide by 2
Then the length of BK is ...
BK = 4x+1 = 4·16 +1
BK = 65
Answer:
a₈ = - 1 / 128
Step-by-step explanation:
Given:
First four terms of the sequence
a₁= 1, a₂= - 1/2, a₃= 1/4 and a₄= -1/8
First we recognize that this is a geometric series (sequence) and we must calculate quotient q.
q = a₂/a₁ = a₃/a₂ = (-1/2)/1 = (1/4)/(-1/2) = - 1/2
q = - 1/2
Formula for calculating n-th term is:
aₙ = a₁ · qⁿ⁻¹
According to this:
a₈ = 1 (-1/2)⁷ = - 1/ 128
God with you!!!