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gayaneshka [121]
3 years ago
6

Use less than, equal to, or greater than to complete this statement: the measure of each exterior angle of a regular 10-gon is b

lank the measure of each exterior angle of a regular 6-gon
Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

less than

Step-by-step explanation:

Okay we have two polygon types here and we want to make comparison of angles.

Now for a 10-sided polygon, how do we calculate the value of each of the exterior angles?

Mathematically for any polygon , the total sum of the exterior angle is 360. Thus each in a ten sided polygon would be 360/n = 360/10 = 36

For a six sided polygon, we use the same 360/n = 360/6 = 60

So the correct answer to fill in the blank is less than

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Which triangles must be congruent
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All three triangles are congruent by SAS
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3 years ago
Please help me with this
Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

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3 years ago
Determine which of the following relations represent a function.
Darina [25.2K]

Answer:

B

Step-by-step explanation:

In a function, each input (x) must match with one output (y). So, if there are two sets of coordinates with the same y value, that's not a function.

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