Answer:
what
Step-by-step explanation:
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
3x + 3 = 2x
three times a number = 3x ,and 3 = 3x + 3, is equal to two times the number =
3x + 3 = 2x
Answer:
Basketball = 0.743
Step-by-step explanation:
Given
Tennis:
Starting Height = 200 cm
Rebound Height = 111 cm
Soccer Balls;
Starting Height = 200 cm
Rebound Height = 120 cm
Basketball:
Starting Height = 72 inches
Rebound Height = 53.5 inches
Squash:
Starting Height = 100 inches
Rebound Height = 29.5 inches
For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.
Calculating the rebound ratio of each balls.
Rebound Ratio = Rebound Height/Starting Height
Tennis: 111/200= 0.556
Soccer Balls: 120/200 = 1.667
Basketball: 53.5/72 = 0.743
Squash: 29.5/100 = 0.295
From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.
Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
