Answer:
17x+4=123(alternate angle)
17x=123-4
17x=119
x=7
x= 15
4x+8x: 180
12x: 180
x: 180/12
x: 15
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Based on the inscribed quadrilateral conjecture: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
<h3>What is the Inscribed Quadrilateral Conjecture?</h3>
The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.
From the diagram given, the opposite angles in the trapezoid, 115 + 65 = 180 degrees.
Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
Learn more about the inscribed quadrilateral conjecture on:
brainly.com/question/12238046
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Answer:
Exact Area =
16pi - 32 square meters
Decimal Approx:
A = 18.3 sq m
Step-by-step explanation:
In degrees, it's 360° all the way around a circle. The 270° in the image is to show you that the small piece (the triangle and yellow segment) are in a 90° part of the circle. That is 1/4 of the circle, this helps with area two ways. We'll find 1/4 of the circle area and also, that makes the triangle base 8 and height 8. This helps us find triangle area. See image.
Answer: 9 is the next number of this series. Similarly, apply thus rule. 9×2=18 and 18+9=27. Next is 27.
Step-by-step explanation:
