George is given two circles, circle o and circle x, as shown. if he wants to
prove that the two circles are similar, what would be the correct fourth step in
his proof?
given: the radius of circle ois r, and the radius of circle
prove: circle o is similar to circle x.
1.c = 2x7 and c = 251' by the definition of circumference.
2.
= 33%, and
by the division property of equality.
3. d = 2r and d = 21 by the definition of diameter.
5.
and
by the substitution property.
6. circle ois similar to circle x because all the linear dimensions are in the
same proportion

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

72 is the answer to this problem

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

you save $70

discount would be 35% off

step-by-step explanation: