Inscribed Quadrilateral Theorem says that quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary.
That means
∠C+∠A=180⁰
∠B+∠D=180⁰
So, ∠C+∠A=180⁰ ---->84 + x = 180 ------> x=180-84=96⁰.
Answer: x=96⁰.
<u>Answer:</u>
- There is a 41.7% chance that you got a blue ball.
<u>Step-by-step explanation:</u>
<u>Total number of blue balls/Total number of balls x 100 = Chance of getting a blue ball</u>
- => 5/12 x 100
- => 5/6 x 50
- => 5/3 x 25
- => 125/3
- => 41.7
Hence, <u>there is a 41.7% chance that you got a blue ball.</u>
Hoped this helped.
Eighteen could be in standard form 18 or expanded form 10 + 8.
1 ) first offer
total payments
375.76×12×4
=18,036.48
Interest paid
18,036.48−16,000
=2,036.48
Second offer
Total payments
390.61×12×4
=18,749.28
Interest paid
18,749.28−16,000
=2,749.28
Larry will save of taking 6% loan
2,749.28−2,036.48=712.8. .answer
2) credit card 1
Total payments
277.09×12
=3,325.08
Interest paid
3,325.08−3,000
=325.08
Credit card 2
Total payments
152.69×12×2
=3,664.56
Interest paid
3,664.56−3,000
=664.56
Susan will save
664.56−325.08
=339.48...answer
Hope it helps!
<h3>
Answer: 985</h3>
=============================================
Work Shown:
A = amount after t hours
P = initial amount = 100
r = growth rate in decimal form = 0.10
t = number of hours = 24
--------
A = P*(1+r)^t
A = 100(1+0.10)^24
A = 100*(1.10)^24
A = 100*9.84973267580762
A = 984.973267580762
A = 985
