Answer:
option 3
Step-by-step explanation:
Since definition of slope is:
the ratio:
explains the best (Ratio option 3)
241.402 kilometers
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Answer: Arc CE measures 62 units
Step-by-step explanation: What we have in the question is a circle with two secants ABC and ADE. The two secants have been extended such that two arcs have been formed which are, major arc CE (that is, 4x - 10) and minor arc BD (that is 26).
When you have a circle with two intersecting secants, the angle x (that is angle CAE) is derived as half of the difference of the two intercepted arcs. That is;
Angle x = 1/2 [CE - BD)
Angle x = 1/2 [ (4x - 10) - 26]
Angle x = 1/2(4x - 36)
Cross multiply and we now have
2x = 4x - 36
Collect like terms and we now have
36 = 4x - 2x
36 = 2x
Divide both sides by 2
18 = x
Having calculated x as 18, where arc CE equals 4x - 10, then substitute for the value of x.
CE = 4(18) - 10
CE = 72 - 10
CE = 62
Answer:
x > - 
Step-by-step explanation:
Given
6(x + 1) > 2x - 1 ← distribute parenthesis on left side
6x + 6 > 2x - 1 ( subtract 2x from both sides )
4x + 6 > - 1 ( subtract 6 from both sides )
4x > - 7 ( divide both sides by 4 )
x > -
There are two such numbers.
One of them is 2 + 9.5 = 11.5.
The other one is 2 - 9.5 = -7.5.
_____
If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.
