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Kitty [74]
2 years ago
13

Please help i need to finish

Mathematics
1 answer:
elena-s [515]2 years ago
5 0

Answer:

B. \overline A \overline C \cong \overline B \overline D

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that \overline D \overline C is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ \overline A \overline C \cong \overline B \overline D is the additional fact needed to prove \triangle ADC \cong \triangle BCD

Hope this helps :)

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Find the exponential function that satisfies the given conditions: Initial value = 64, decreasing at a rate of 0.5% per week
mrs_skeptik [129]

Answer:

Step-by-step explanation:

An exponential function is of the form

y=ab^x

where a is the initial value and b is the growth/decay rate.  Our initial value is 64.  That's easy to plug in.  It goes in for a.  So the first choice is out.  Considering b now...

If the rate is decreasing at .5% per week, this means it still retains a rate of

100% - .5% = 99.5%

which is .995 in decimal form.

b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1.   .995 is less than 1 so it is a rate of decay.  The exponential function is, in terms of t,

f(t) = 64(.995)^t

4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sphinxa [80]

Answer:72.70


Step-by-step explanation:  long story short math


6 0
3 years ago
The table below shows the different sizes of 15 pepperoni pizzas sold at a restaurant so far today.
MrRa [10]

Answer:

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Step-by-step explanation:

6 0
2 years ago
A right triangle has a hypotenuse of 10 feet and a leg of 6 feet. What is the length of the other leg?
Artemon [7]

Answer:

The other length of the leg is <em>8 feet.</em>

Step-by-step explanation:

To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em>  <em>10 x 10 = 100</em>.  

<em>6 x 6 = 36.  </em>Now since we are trying to find the length of the other leg, we will <em>subtract 100 from 36</em> and we get <em>64</em>.  Then for the last step, we will figure out what number<em> squared equals 64.</em>  Because 8 x 8 = 64, <em>8 is our answer.</em>

3 0
2 years ago
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.917 g and a standard deviation
Nutka1998 [239]

Answer:

z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903

And we can find this probability to find the answer:

P(z

And using the normal standar table or excel we got:

P(z

Step-by-step explanation:

Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:

X \sim N(0.917,0.303)  

Where \mu=0.917 and \sigma=0.303

We have the following info from a sample of n =37:

\bar X= 0.872 the sample mean

And we want to find the following probability:

P(\bar X \leq 0.872)

And we can use the z score formula given by;

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for the value of 0.872 we got:

z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903

And we can find this probability to find the answer:

P(z

And using the normal standar table or excel we got:

P(z

6 0
3 years ago
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