Step-by-step explanation:
In ΔAPO and ΔBPO,
( Length of tangents from an external point to a circle are equal)
( Radii of same circle)
( Common side)
∴ ΔAPO = ΔBPO (SSS Congruence) ---------------(1)
Given that, ∠AOP = 64°
∠AOP = ∠BOP [ From (1) ]
⇒∠BOP = 64
Now,
∠BOP + ∠BOD = 180° ( Linear Pair)
∠BOD = 180 - 64 (∵ ∠BOP = 64°)
∴ ∠BOD = 116°
Hope that helps!!
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Answer:
A) $192
Step-by-step explanation:
Given:
Yearly expense of Car insurance = $1130
Yearly expense of Vacation = $700
Yearly expense of home repairs = $468
we need to find the monthly allowance of Clark family.
First we find the total annual expense of Clark family.
Total Annual expense is equal to sum of Yearly expense of Car insurance and Yearly expense of Vacation and Yearly expense of home repairs.
Framing in equation form we get;
Total annual expense =
Now we know that;
Number of months in a year = 12 months.
Total Monthly allowance will be equal to Total annual expense divided by Number of months in year.
Framing the equation we get;
Total Monthly allowance =
Rounding to nearest dollar we get;
Total Monthly allowance of Clark family is $192.