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xz_007 [3.2K]
3 years ago
12

What is the perimeter of triangle ABC?

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Option B:

The perimeter of ΔABC is 28 units.

Solution:

AD = 5, DC = 6 and AB = 8

AD and AE are tangents to a circle from an external point A.

BE and BF are tangents to a circle from an external point B.

CD and CF are tangents to a circle from an external point C.

<em>Tangents drawn from an external point to a circle are equal in length.</em>

⇒ AD = AE, BE = BF and CD = CF

AE = 5

AE + BE = AB

5 + BE = 8

Subtract 5 from both sides.

BE = 3

BE = BF

⇒ BF = 3

CD = CF

⇒ CF = 6

Perimeter of the polygon = AE + BE + BF + CF + CD + AD

                                         = 5 + 3 + 3 + 6 + 6 + 5

                                         = 28

The perimeter of ΔABC is 28 units.

Option B is the correct answer.

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Find the missing side length image below
barxatty [35]

Answer:

40

Step-by-step explanation:

Based on the Proportional Transversal Theorem, the three parallel lines hat intersects the two transversals, divides the transversal lines proportionally.

Therefore, we would have the following ratio:

28/35 = ?/50

Cross multiply

35*? = 50*28

35*? = 1,400

Divide both sides by 35

? = 1400/35

? = 40

4 0
3 years ago
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Aleks [24]

We need the object and the characteristics.

6 0
3 years ago
How many sides does a quadrillateral have
masya89 [10]

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3 0
2 years ago
Karen bought a jacket for$280.80 inclusive of an 8% sales tax.Find the price of the jacket before sales tax was applied.
Serhud [2]

Answer:

$260

Step-by-step explanation:

Actual price + 8% of actual price=$280.80

Let x= actual price

8% of actual price=8/100 of x

=0.08x

x + 0.08x=$280.80

1.08x=$280.80

x=$280.80/1.08

x=$260

Price of the jacket before sales tax=$260

Check:

8% sales tax of $260

=8% of $260

=8/100×$260

=0.08×$260

=$20.8

Purchasing price= actual price+ sales tax

=$260+$20.8

=$280.80

8 0
3 years ago
Help me pls with this complete a and B I will give you brainliest if answer is correct:-)​
Ganezh [65]

Answer:

a) Multiplied by 1.04

b)160(1.06)=169.6

Step-by-step explanation:

Its increasing so (1+4%) will be what it multiplied to.

Hope it helps u

160(1+6%)=169.6

7 0
3 years ago
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