Answer:
radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) =
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians =
=
Angle formed by the hands of the clock at 8:00 = radians
Answer:
(the statement does not appear to be true)
Step-by-step explanation:
I don't think the statement is true, but you CAN compute the intercepted arc from the angle.
Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.
Therefore, adding the angles together, we have:
alpha + 90 + 90 + <FDG = 360
Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)
Answer:
POSTULATE
Step-by-step explanation:
<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>
<em> </em>
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<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>
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<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>
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<em> They are presumed true by most of the scholars in the field. </em>
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<em>Its contradiction goes against the very essence of the subject. </em>
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<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>
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<em>See Attachment for Details ^^</em>
<em>The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>
<em>Therefore</em><em>, </em>
<em> </em>
<em>The Geometry term that represents the statement above is POSTULATE</em>
