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3 years ago

The smaller triange was dilated to form the larger triangle. What is the value of x?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer:

x = 14

Step-by-step explanation:

As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9

This represents that it is dilated by 3 factor

= 3 × 3

= 9

Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor

So the new side is 15

Also the largest triangle is x + 1

So,

15 = x + 1

x = 14

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3 years ago

This is correct? I need help please :(

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Answer:

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2 years ago

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The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

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Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

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On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

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