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2 years ago

In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?

Mathematics

1 answer:

Elena-2011 [213]2 years ago

7 0

Answer:

Step-by-step explanation:

The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:

AB * x = DE

where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:

5x = 15

x = 3

Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.

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Average speed = $\frac{Total Distance}{Total Time}$

Ishan's Speed uphill = 10mph

Time taken = 18 minutes = 18/60 = 3/10 hours

Now distance = rate × time

Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles

Now returning back home

Distance = 3 miles

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So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.

Now total distance traveled = 3 + 3 = 6 miles

Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours

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3 years ago

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a) The equation represents an ellipse.

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c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

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(x² + 8 · x) + (y² - 6 · y) = 15

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To learn more on ellipses: brainly.com/question/19507943

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Step-by-step explanation:

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