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
1.5 yards is the correct answer
54in=4ft 6in=1.5yd
<h3>There are 135 bottles in all</h3>
<em><u>Solution:</u></em>
Given that,
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7
Ratio = 1 : 1 : 7
Let the number of grape fruit juice bottles be 1x
Let the number of mango juice bottles be 1x
Let the number of orange juice bottles be 7x
There are 105 orange juice bottles
Therefore,
7x = 105
Divide both sides by 7
x = 15
Therefore,
number of grape fruit juice bottles = 1x = 15
number of mango juice bottles = 1x = 15
number of orange juice bottles = 7x = 105
Thus,
Total bottles = 15 + 15 + 105 = 135
Thus there are 135 bottles in all
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