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Nikolay [14]
3 years ago
15

The triangles are similar. Find the value of x.

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
5 0

Answer: 95

Step-by-step explanation:

I am in geometry this year. We know by the AA thorem that all three angles are similar. Since both triangles have sides 45 and 40. We know that the last side has to 95.

Hope this helps :)

yarga [219]3 years ago
4 0
The last side is 95

Hope this helped!
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Alfonso runs 10 km at an average speed of x km/h.
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Step-by-step explanation:

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We can come up with two equations with the information given and the equation:

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t_2 hr = (12 km)/(x - 1 km/hr)

<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

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20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

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Step-by-step explanation:

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