The circle below has center t. suppose that m uv=138 degrees and that uw is tangent to the circle at u. find the following

answer:

tu is a tangent line to the circle touching at point u

∴ ∠ qut =90°   (1)

the marc ur is 199° ⇒⇒⇒ ∠rqu = 199° (largest arc)

and the marc rs is 84°⇒⇒⇒ ∠rqs = 84°

∴∠ squ = 360° - (199°+84°) = 360° - 283° = 77°

  δ rsq is isosceles triangle because qr = qs = radius of the circle q

∴∠qrs = 0.5 (180° - 84° ) = 48° (2)

∵ the sum of angels of the shape rqut = 360°

∠r = 48°     (from 2)

∠q = 360° - 199° = 161°

∠u = 90°     (from 1)

∴∠t = 360° - (∠r+∠q+∠u)

        = 360° - (48°+161°+90°) = 61°

the correct answer is option (b)

b. 61°

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step-by-step explanation: my bad its long @sf but i just wanna break it down like a blunt and pass it like a blunt im so dead lm@

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.