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
You start by doing 65.20 (the bill) divided by 5 (the amount of people paying)
65.20 / 5 = 13.04
Then you add 13.04 (how much each person paid towards the bill) and 2.75 (the amount of money each person left as a tip)
13.04 + 2.75 = 15.79
Each person paid $15.79
Answer:
38
Step-by-step explanation:
Follow orders of operations.
Slove the expression in the parenthesis or brackets whatever, same thing.
5*6=30
Now add
30+8=38
The measurement of the largest square tile is 4 ft. by 4 ft.
You would need 6 of these tiles to fill the room.
