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3 years ago

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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MrRa [10]

Answer:

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Step-by-step explanation:

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Divide both side by 8, we got:

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3 years ago

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Deffense [45]

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Step-by-step explanation:

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3 years ago

you plant 15 tulip bulbs and 10 of them grow into flowers to bloom. If you plant 21 more re tulips bulbs, predict how many of th

harina [27]

Answer:

14 more flower would bloom if 21 more tulip bulb is planted.

Step-by-step explanation:

Given ratio for tulip bulbs and flowers is 15:10.

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Assume if 21 tulip bulbs are planted then number of flower would bloom be"x"

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Cross multiplying the ratio to get:

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3 years ago

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LiRa [457]

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$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]$

Multiply through row 3 by 1/2:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]$

Multiply through row 3 by 1/5:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]$

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

$\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -3(row 2) to row 1:

$\left[\begin{array}{ccc|c}-1&0&0&-1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Multiply through row 1 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

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$\left[\begin{array}{ccc|c}1&0&0&1\\0&-1&0&2\\0&0&1&1\end{array}\right]$

Multipy through row 2 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-2\\0&0&1&1\end{array}\right]$

The solution to the system is then

$\boxed{x=1,y=-2,z=1}$

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3 years ago

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serg [7]

= ( x + 2 )°

= (7y)°

<h2>#carry on learning</h2>

#galadohannadivine29

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2 years ago