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2 years ago

If QR=x+29 and PS=x–16, what is the value of x?

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

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3 years ago

Read 2 more answers

Can anyone help me about question 2

madreJ [45]

9514 1404 393

Answer:

3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

$(a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}$

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

$\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}$

and the 2544th term is ...

$\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}$

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2 years ago

A line with a slope of 4 passes through the point (2, 1 ). What is the equation of this line?

castortr0y [4]

Answer:Put this in y= mx +b form

we have the slope(4) as well as a set of points for x and y so we have everything we need to solve for b

1= 4(2) + b

1 =8+b B=-7

so equation is y = 4x -7

Step-by-step explanation: can i get brainley? :)

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