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trasher [3.6K]
3 years ago
14

Given: Circumscribed polygon ABCD AB=21, BC=24, CD=30 Find: AD AD = ____ units

Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

AD = 27 units

Step-by-step explanation:

In the above question, we have a circumscribed Polygon, were circle XYZ is inside the polygon ABCD

We were given the following side

AB=21 units

BC=24 units

CD=30 units

Side AB = AW + BW

21 units = x + 21 - x

Side BC = BX + CX

BX = BW , hence BX = 21 - x

Side BC = 21 units

24 = 21 - x + CX

CX = 24 - (21 - x)

CX = 24 - 21 + x

CX = 3 + x

Side CD = CY + DY

Note that: CY = CX, hence, CY = 3 + x

Side CD = 30 units

30 = 3 + x + DY

DY = 30 - (3 + x)

DY = 30 - 3 - x

DY = 27 - x

Side AD = AZ + DZ

Note also that:

AZ = AW , hence AZ = x

DY = DZ , hence DZ = 27 - x

Side AD = x + 27 - x

Side AD = 27 units

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Step-by-step explanation:

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Hi,

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A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each day of the
Levart [38]

Answer:

Total = 686000 meters for 10 weeks 7 days a week.

Step-by-step explanation:

Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7

a = 8000

n = 10

d = 400

Sum = (a + L)*n/2

  • L = a + (n - 1)*d
  • L = 8000 + (10 - 1)*400
  • L = 8000 + 9*400
  • L = 8000 + 3600
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Sum = (8000 + 11600)*10/2

Sum = 19600 * 10/2

Sum = 98000 meters.

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The total amount is 7 times this figure.

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3 0
4 years ago
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
svet-max [94.6K]

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

4 0
3 years ago
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