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.
Answer:
1. algebraic expression: a mathematical expression containing one or more variables
2. coefficient: the constant preceding the variables in a product
3. constant: a numerical value
4. expression: a mathematical phrase that cannot be determined true or false
5. variable: a letter or symbol used to represent an unknown
Step-by-step explanation:
The answer is (-4,-4) because y has to equal x, the first -4 is the x and the second one is the y
Suppose x-6 is listed as a possible answer. That is zero if x = 6. So put x=6 into the original x^2 + 4x - 60 to get 6^2 + 4*6 - 60 = 36 + 24 -60 = 0. hence x-6 is a factor.
Answer (x-6)
on this hand :x-5 is not a factor, because plugging x=5 into does not work.