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Minchanka [31]
3 years ago
12

PLEASE HELP!!! Which rule explains why these scalene triangles are similar

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:  Ratio of Parts

<u>Step-by-step explanation:</u>

\text{Ratio of sides:}\ \dfrac{ST}{WS+ST}=\dfrac{66}{6+66}=\dfrac{66}{72}=\dfrac{11}{12}\\\\\\\text{Ratio of bases:}\ \dfrac{TU}{TU+UV}=\dfrac{44}{44+4}=\dfrac{44}{48}=\dfrac{11}{12}\\\\

The ratios are equal so the triangles are similar.

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The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contain
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The first consignment shows no association between the t-shirt size and the profit. 

In the second consignment, the bigger the t-shirt size, the smaller the profit. There is an inverse relationship between the two variables. 

In the third and fourth consignment, the bigger the size, the larger the profit. There is a direct relationship between the two variables. 
5 0
3 years ago
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If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f '(3) = −5, f '(1) = −4, g '(1)
belka [17]

Answer:

h'(1)=0

Step-by-step explanation:

We use the definition of the derivative of a quotient:

If h(x)=\frac{f(x)}{g(x)}, then:

h'(x)=\frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}

Since in our case we want the derivative of h(x) at the point x = 1, which is indicated by: h'(1), we need to evaluate the previous expression at x = 1, that is:

h'(1)=\frac{f'(1)*g(1)-f(1)*g'(1)}{(g(1))^2}

which, by replacing with the given numerical values:

f(1) =4\\g(1)=3\\f'(1)=-4\\g'(1)=-3

becomes:

h'(1)=\frac{f'(1)*g(1)-f(1)*g'(1)}{(g(1))^2}=\\=\frac{-4*3-4*(-3)}{(3)^2}=\frac{-12+12}{9} =\frac{0}{9} =0

3 0
3 years ago
Find m AB and CD intersect at point E
Aleks04 [339]

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8 0
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Select the correct answer.<br> Find the slope and the y-intercept of the equation 4x + 5y = -9.
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Answer:

The answer to your question is letter C

Step-by-step explanation:

To find the slope and the y-intercept solve the equation of the line for y.

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- Substract -4x in both sides

                          4x - 4x + 5y = -4x - 9

- Simplify

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- Divide by 5 both sides

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- Simplify

                            y = -4/5x - 9/5

- Find the slope

                            m = -4/5

- Find the y-intercept

                            b = -9/5                  

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