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Oliga [24]
3 years ago
14

What the property of m>DEF=m

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

m>DEF=m

Step-by-step explanation:

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Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 60 degrees. What is the length of the arc?
Yuliya22 [10]

Answer:

The answer is 3.14 units

6 0
3 years ago
21, 89, 33, 53, 32, 51, 90, 69, 84<br>Median<br>Range<br>Mode<br>​
grigory [225]

Answer:

median 53

range 69

mode all values appear once

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Linda had 8 stamps in her collection. She lost 2 stamps. What fraction of the
Alenkinab [10]

Answer:

2/8

Step-by-step explanation:

all the stamps would be 8/8 but she lost 2 therefore giving her 2/8

6 0
3 years ago
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What percent of 80 is 8
murzikaleks [220]

Answer:

P = 10%

Step-by-step explanation:

Of means multiply and is means equals

P * 80 = 8

Divide each side by 80

P = 8/80

P = .1

Change to percent form

P = 10%

7 0
3 years ago
Read 2 more answers
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