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3 years ago

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Mathematics

1 answer:

vitfil [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above. GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

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Mathematical word describes both 27x and 6x in the expression 27x+6x?

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The mathematical word describing both $27x$ and $6x$ in the expression $27x+6x$ is "<u><em>addition</em></u>"

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were $27x$ and $6x$ and the expression formed from them is $27x+6x$

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

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