7. The diagram below shows two congruent circles which touch at a single point T.
The circle, centre A, has as its equation x² + y2 - 6x -18y +45 = 0.
The line with equation 2y = x is the common tangent to the two circles through T.
x2 + y2 - 6x-18y+45 = 0
ophon
2y=x
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T
O
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B
(a)
Show algebraically that T has coordinates (6,3).
(b)
Hence establish the the coordinates of B, the centre of the lower circle, and
find the equation of this circle.​

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

u bout ugly as   a mf

step-by-step explanation: lol

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8