Answer:
(5.5,-8)
Step-by-step explanation:
(7 + 4)/2 = 5.5
(-6 + -10)/2 = -8
The opposite angles are equal to are supplementary to each other or equal to each other.
<h3>What is a Quadrilateral Inscribed in a Circle?</h3>
In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.
If e, f, g, and h are the inscribed quadrilateral’s internal angles, then
e + f = 180˚ and g + h = 180˚
by theorem the central angle = 2 x inscribed angle.
∠COD = 2∠CBD
∠COD = 2b
∠COD = 2 ∠CAD
∠COD = 2a
now,
∠COD + reflex ∠COD = 360°
2e + 2f = 360°
2(e + f) =360°
e + f = 180°.
Learn more about this concept here:
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Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.
Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).
Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
Answer:
15 and 27 are composite
Step-by-step explanation:
prime numbers only factor into 1(x) and x(1)
13 = 1(13), 13(1)
15 = 1(15), 3(5), 5(3), 15(1)
17 = 1(17), 17(1)
27 = 1(27), 3(9), 9(3), 27(1)
hope this helps
Answer:
RS
Step-by-step explanation:
If we flip triangle PQR, we can see that RS is congruent to PR
