Answer:
two: +1 and -1
Step-by-step explanation:
If a number is equal to its own reciprocal, it will satisfy the equation ...
x = 1/x
Multiplying by x and subtracting 1 gives ...
x^2 -1 = 0
This factors as ...
(x -1)(x +1) = 0
By the zero product rule, the solutions are those values of x that make one or more factors zero:
x = 1
x = -1
There are two self-reciprocals.
First:
a. ratio of the diameter to the radius
the ratio of the diameter to the radius for any circle is always going to be 2:1 because the diameter is 2 times the legnth of the radius any time so A is not the right answer
b. the degrees of the circle is always 360, the circumference is the distance around the circle, so that would be a good indicator since 360 is constant, but the circumference can change, and if they are the same, then the circles are similar. so B is the right answer
c. Ratio of area to circumference. area=pir^2, and circumference=2pir
this is a good indicator becuase the ratio of the area and the circumference is different for every circle so c is the right answer
D. the ratio of the diameter to the circumference diameter=2r circumference=2pir
circumference=pi time diameter so the ratio of the diameter is 1:pi
this is not a good indicator so this is not the right answer
The answers are B and D, but if the teacher asks for only one, then I would pick c
Answer:
m<A = 133
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
That means that m<A + m<C = 180.
m<A + m<C = 180
4x + 5 + x + 15 = 180
5x + 20 = 180
5x = 160
x = 32
m<A = 4x + 5
m<A = 4(32) + 5
m<A = 128 + 5
m<A = 133
Answer:
a)2x-3
b)x^2+1
c)X×5
Step-by-step explanation:
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