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2 years ago

Angle K has a measure of 83 degrees and is reflected across the line y=2 to get angle K’.

Mathematics

1 answer:

natita [175]2 years ago

5 0

Answer:

k= 83 degrees

Step-by-step explanation:

Reflection: y=2

Required

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

k’=K

K= 83 degrees

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Area of a trapizium is 84m².its pararrell sides are 12m and 9m. find its hiegh

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Answer:

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Step-by-step explanation:

We can convert the trapezium into a rectangle to make finding the area easier.

Say that the top side is 9m, and that the bottom side is 12m.

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3/2* = 1.5

*Note that we are dividing by two to get the "overhang" of the bottom side.

Now that we have our overhang, we can find the length of the "t-rect"**.

**"T-rect" refers to a rectangle that has been formed by changing a trapezium into a rectangle.

12 - 1.5 = 10.5

9 + 1.5 = 10.5

The length of the t-rect is 10.5.

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The height of the t-rect is 8m.

Since the height of the original trapezium is equal to the height of the t-rect***,

***Since we have only adjusted the length

this also means that 8m would also be the height of the original trapezium.

Now, there is a second way of doing this.

Find the median of 12 and 9.

9, 10, 11, 12

10, 11

The median is 10.5.

84/10.5 = 8

You get the same answer. These methods could be used as a solve-then-check method to another problem like these.

Hope this helps. Have a nice day.

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