The measure of an inscribed angle in a circle is ______ the measure of the intercepted arc.
1 answer:
C. Half
<u>Explanation:</u>
An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
Inscribed angles that intercept the same arc are congruent.
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Answer:
Perimeter of the smaller triangle = 1.75x
Step-by-step explanation:
Let the two equal sides of an isosceles triangle = x
Therefore, length of the base =
Perimeter of this isosceles triangle = x + x +
= 2x +
= 2x + x +
=
Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,
Length of each corresponding side of smaller triangle will be half of the larger triangle.
Length of sides of the smaller triangle =
Perimeter of the smaller triangle =
= x +
=
=
=
= 1.75x
Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)