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Lina20 [59]
1 year ago
8

Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles

will fit together perfectly, as shown in the diagram. Show calculations to prove that she is wrong.

Mathematics
1 answer:
HACTEHA [7]1 year ago
4 0

From calculations, we can say that the given tiles will not fit together perfectly.

<h3>How to find the sum of interior angles of a Polygon?</h3>

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

Read more about Interior angles of a Polygon at; brainly.com/question/224658

#SPJ1

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=14x+74

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If roni and allie work together to mow the field, what part of the field would roni mow?
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Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field.

<h3>How much of the field would Roni mow?</h3>

Assume that the part of the field that Roni would mow is x.

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In 30 minutes, Roni would have mowed:

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Full question is:

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.

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2 years ago
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Step-by-step explanation:

Put the value where the variable is, read the graph, and do the arithmetic.

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<em>   g(2) = -5</em>

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<em>Additional comment</em>

f(2) is the point on the graph where it is 2 units to the right of the y-axis. At that point, the graph is 1 unit below the x-axis, so f(2) = -1.

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