Question

Please help me out !!!

Answer 1

Answers: x =
`(25)/(4)` , arc AB = 110°, x =
`(4)/(3)`, arc AB = 56°

Step-by-step explanation:

Set up the proportion then cross multiply and solve for x.

`(MQ)/(QP) = (MN)/(NO)`

`(15)/(x) = (12)/(5)`

15(5) = x(12)

75 = 12x

÷12 ÷12

`(75)/(12)` = x

`(25)/(4)` = x reduced

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arc ADB + arc AB = 360°

250° + AB = 360°

-250° -250°

AB = 110°

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Set up the proportion then cross multiply and solve for x.

`(MQ)/(QP) = (MN)/(NO)`

`(4)/(x) = (6)/(2)`

4(2) = x(6)

8 = 6x

÷6 ÷6

`(8)/(6)` = x

`(4)/(3)` = x reduced

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Central angle = measure of the arc

∠AB = arc AB

56° = arc AB