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PtichkaEL [24]
3 years ago
15

A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Th

en the triangle is reflected over the x-axis. Finally, the triangle is translated left 2 units and up 4 units. How does the newly formed triangle compare to the original triangle?
Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0

Answer:

Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.

andrezito [222]3 years ago
7 0
The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.
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Multiply the average by the number of exams to find total points:

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4 years ago
In a journey of 15 miles, two third distance was travelled with 40 mph and remaining with 60 mph. How much time does the journey
Ad libitum [116K]

The first step in solving this question is to split the journey into 2 parts. In the first part of the journey, \frac{2}{3} \times 15 = 10 miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.

The equation to compute the time of a journey  given the speed and distance is t=\frac{d}{s} where t is the time, s is the speed and d is the distance.

The time for the first part of the journey is calculated as shown below,

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The time for the second part of the journey is calculated as follows,

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The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,

t=\frac{10}{40} h+\frac{5}{60} =\frac{30+10}{120} h=\frac{40}{120}h =\frac{1}{3} h

The time to cover the journey is a third of an hour or 20 minutes.

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