3 years ago

Solve similar triangles (advanced)

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

$\frac{9}{3} =\frac{15}{x}$

$x=\frac{(15)(3)}{9} =\frac{45}{9} =5$

hope this helps

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Find the angle which is 6 times its complement

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Does anybody know the answer to this question on Mathswatch?<br><br> :)

professor190 [17]

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The graph of the function g(x) contains the point (4,1/5). What point must be on the graph of y=5g(x+1)?

stich3 [128]

<em>The point that must be on the graph of:</em>

$y=5g(x+1)$

$(3,1)$

<h2>Explanation:</h2>

In this case, we have the following function:

$g(x)$

This function contains the point:

$(4,\frac{1}{5})$

In other words:

$For \ the \ point \ (4,\frac{1}{5}) \rightarrow x=4 \ and \ y=\frac{1}{5} \\ \\ So: \\ \\ y=g(x) \ and \ g(4)=\frac{1}{5} \\ \\ \\ For \ y=5g(x+1) \\ \\ We \ know \ g(4) \ So: \\ \\ x+1=4 \ \therefore x=3 \\ \\ Then: \\ \\ y=5g(3+1) \\ \\ y=5g(4) \\ \\ y=5(\frac{1}{5}) \\ \\ y=1$