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
$2,000, the commission is like a bonus if the car salesman sells cars, so per month is 2,000 if he sold 8 cars it would be 8,000 and plus the earning per month it would be $10,000.
Making a list can help you solve a math problem because it shows you the information you will be using.
Sally is 13 years old. Sally's brother Mark is twice as old as Sally. Sally's older sister Daffy is the sum of Sally and Mark's age. How old is Daffy?
making a list in this question tells you all of the different ages and lists them out in a row.
Answer:
Step-by-step explanation:
Let age of each twin be x
let age of sister be s
So we can write:
x + 4 = s
The product of the 3 siblings ages is 3482 more than sum. We can write:
This can be simplified as:
We replace s with "x + 4" and solve:
<u>Note:</u> To solve this cubic, we used technology
Thus, we can say the twins are 14 years old
Answer:
2
Step-by-step explanation:
the rate of change is measured as
in the closed interval [ a, b ]
here [a, b ] = [- 4, 1 ]
f(b) = f(1) = 2 + 4 = 6
f(a) = f(- 4) = - 8 + 4 = - 4
average rate of change = 
= 
= 2
