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Taya2010 [7]
3 years ago
8

Triangle LMN has coordinates L (0, 0), M (0, -2), and N (2, 0). If ΔLMN ≅ ΔXYZ, what is the measure of XZ?

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Check the picture below.

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A manufacturer determines that the number of toys it can sell is given by the formula
otez555 [7]

Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

4 0
2 years ago
The rectangles garden is 25ft by 15ft what is the area of the garden ?
steposvetlana [31]
I hope this helps you




Area=25x15



Area=375
8 0
3 years ago
What is the quotient of the complex number 4-3i divided by its conjugate?
bazaltina [42]

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}

_____

<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

3 0
2 years ago
How would i anser this select all the ratios equivalent to 4:6
Natali5045456 [20]
If we try to simplify the ratio or try to multiply both by any number, we will get the equivalent ratio


Like :

\frac{4}{6}  \\


Divide ( simplify ) by 2


\frac{ \frac{4}{2} }{ \frac{6}{2} }  \\  \\  \\  =  >  \frac{2}{3}




Or multiply by any number,



\frac{4}{6}  \\  \\  \\  =  >  \frac{4 \times 2}{6 \times 2}  \\  \\ \\    =  >  \frac{8}{12}





From the example, 2 / 3 and 8 / 12 are equivalent ratios to 4 / 6
6 0
3 years ago
Is either x = 3 or x = 4 a solution to 3 +7 &gt; 12?
Minchanka [31]

Answer:

It should be neither

Step-by-step explanation:

x+7>12

x>12-7

x>5

Its not 3 or 4.. its 5 so its neither of 3 and 4..

7 0
3 years ago
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