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hoa [83]
3 years ago
6

Please help, Find the Quotient, simplify your answer, Show your work

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0
9a/5b is the answer, the (-7) cancel out.
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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
Write the equation of a line that goes through point (0, −8) and has a slope of 0.
liberstina [14]

Answer: y = -8

Step-by-step explanation:

Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8

3 0
2 years ago
Read 2 more answers
Which of these numbers has the least value? A. 3,213,213 B. 7.8 x 10 C. 6.3 x 10 D. 11,014,114
Mumz [18]
The correct answer is C. 6.3 x 10.
3 0
3 years ago
Read 2 more answers
24 is 4/5% of what number
docker41 [41]

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

7 0
3 years ago
PLEASE HELP Find the product. (n³)² • (n⁵)⁴​
Papessa [141]

Answer:

n^{26}

Step-by-step explanation:

Raising something to a power to a power simply simply multiplies the two exponents

(n^3)^2 = n^6

(n^5)^4 = n^20

Multiplying two numbers with the same base (n) will add the exponents

n^6 x n^20 = n^26

5 0
3 years ago
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