A school is designed so that 5 hallways meet at the library in the shape of a regular pentagon. Find the measure of one of the e
xterior angles of the library.
2 answers:
Answer:
72°
Step-by-step explanation:
The external angles of any regular polygon total 360 °.
Now, the formula for calculating an outside angle of the regular polygon is:
360° / n
Where n is the number of sides.
In the case of the regular pentagon it has 5 equal sides and consequently 5 equal exterior angles.
Substituting in the formula, we have
360° / 5 = 72 °
So the exterior angles of the regular pentagon measure 72 ° each.
See attached image.
Hope this helps!
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Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.
<h3>The cross-section of a three-dimensional object?</h3>In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.
Read more on cross-sections here: brainly.com/question/1924342
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