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blagie [28]
3 years ago
10

If ΔJKL is congruent to ΔTUV, which of the following can you NOT conclude as being

Mathematics
2 answers:
TEA [102]3 years ago
7 0
<span>D. LJ congruent to VT</span>
ivann1987 [24]3 years ago
5 0

D. LJ congruent to VT

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. Katie withdrew a total of $300 from her bank account over the last 5 weeks. How much money did she withdraw each week? Write a
Elodia [21]

Answer:

300/5=60

Step-by-step explanation:

7 0
3 years ago
6. For a two-day rental at the surf shop, it costs $45 to rent a surf board and $60 to rent a paddle board. On a
Masja [62]

Answer:

Step-by-step explanation:

dtttttttttbccccccccccisssssssserrrrrrrrr774444444444

5 0
3 years ago
Ryan planted 125 trees on my tree farm 28% of rum or maple trees and the rest of them are pine trees. Kioshi helped plant 125 tr
VashaNatasha [74]

Answer:

Ryan planted more maple trees than Kioshi.

Step-by-step explanation:

Given:

Total number of tress planted by Ryan = 125

Percent of maples tree planted by Ryan = 28%

Total number of tress planted by Kioshi = 125

We need to find who planted more maple trees.

Solution:

First we will find the number of maple tree planted by Ryan.

So we can say that;

the number of maple tree planted by Ryan is equal to Percent of maples tree planted by Ryan multiplied by Total number of tress planted by Ryan and then divided by 100.

framing in equation form we get;

the number of maple tree planted by Ryan = \frac{28}{100}\times 125 = 35

Hence Ryan planted 35 maple trees on the tree farm.

Now we will find number of maple tree planted by Kioshi.

But Given:

or every maple trees there are four pine trees

Let the number of maple tree planted by Kioshi be 'x'.

Number of pine trees = 4x

Now we know that;

Total number of tress planted by Kioshi is equal to sum of Number of pine trees and number of maple tree.

framing in equation form we get;

x+4x=125\\\\5x=125

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{125}{5}\\\\x=25

Hence Kioshi planted 25 maple trees in the park.

So we can say that.

Ryan planted more maple trees than Kioshi.

7 0
3 years ago
Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
3 years ago
For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun
Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate  the Curl F

Remember that:

        Curl F = <\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}>

1. Curl F = <0,0,5-5> = <0,0,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3x^{2} +5xy + 5y^{2}

  Then F is conservative

2. Curl F = < 0, 0 ,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3/2x^{2} -y^{2}+z

  Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

              = <0 ,0 , 10 +3xsin(y) + cos(y)<

 How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>  

  The potential function f so that  ∇f=F

  f(x,y,z) = x^{3}+(5/3)y^{3}+(5/3)z^{3}    

   Then F is conservative

5 0
3 years ago
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