3 + 2x = 15
2x = 15-3
2x = 12
x = 12/2
x= 6
Not sure is it’s right:)!
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and
.
To find:
The
.
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]


In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
The base angles of an isosceles triangle are congruent. So,
[Base angles of an isosceles triangle]


Using the angle sum property in triangle AOB, we get





Hence, the measure of angle AOB is 120 degrees.
The angle swept out is equal to 1/12 of a full rotation is π/6 radians.
r^2 * theta = π/6 * 11.25^2 = 66.268"
The required mixed number is
. The calculations are attached with the solution as an image.
What is a mixed number ?
- A bit represented with its quotient and remainder is a mixed bit. For illustration,21/3 is a mixed bit, where 2 is the quotient, 1 is the remainder.
- So, a mixed bit is a combination of a whole number and a proper bit. A mixed bit, also called a mixed number, is a whole number and a bit together.
- The bit is written to the right of the whole number.
- A mixed number is formed by combining three corridor a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper bit that makes the mixed number.
The required mixed number is
. The calculations are attached with the solution as an image.
Learn more about mixed number here:
brainly.com/question/1746829
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