Answer:
Step-by-step explanation:
Given: quadrilateral ABCD inscribed in a circle
To Prove:
1. ∠A and ∠C are supplementary.
2. ∠B and ∠D are supplementary.
Construction : Join AC and BD.
Proof: As, angle in same segment of circle are equal.Considering AB, BC, CD and DA as Segments, which are inside the circle,
∠1=∠2-----(1)
∠3=∠4-----(2)
∠5=∠6-------(3)
∠7=∠8------(4)
Also, sum of angles of quadrilateral is 360°.
⇒∠A+∠B+∠C+∠D=360°
→→∠1+∠2+∠3+∠4+∠5+∠6+∠7+∠8=360°→→→using 1,2,3,and 4
→→→2∠1+2∠4+2∠6+2∠8=360°
→→→→2( ∠1 +∠6) +2(∠4+∠8)=360°⇒Dividing both sides by 2,
→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)
As, ∠A+∠B+∠C+∠D=360°
∠A+∠C+180°=360°
∠A+∠C=360°-180°------Using A
∠A+∠C=180°
Hence proved.
credit: someone else
Answer:
If rounded up by the nearest whole number, it'd be 210, because it isn't using the decimal numbers, and the whole number would get the boot, meaning only 200 and 10 would remain. Please let me know if this helped.
Answer:
<u><em>The original price would be 50$.</em></u>
Step-by-step explanation:
To find this answer you have to divide 25% by 100, which equals 0.25. Now multiply 0.25 by 40 and you get 10$. Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.
The amount that will be expected to be paid for the bonds that are bought will be C. $3,318.33
<h3>How to calculate the amount of bonds?</h3>
From the information given, the bonds from the city of tavel gorge worth $1,000 each are selling at 110.611 and Sean wishes to purchase three such bonds.
Therefore, the amount for the bonds will be:
= 1110.611 × 3
= 3,318.33
In conclusion, the correct option is C.
Learn more about bonds on:
brainly.com/question/2775110
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