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.
We know that base angles of an isosceles triangle are congruent.
[Base angles of an isosceles triangle]


In triangle AOB,





Therefore, the measure of angle AOB is 120 degrees.
Answer:
x < -1
Step-by-step explanation:
Step 1: Write out inequality
-10 + x + 4 - 5 > 7x - 5
Step 2: Solve
x - 6 - 5 > 7x - 5
x - 11 > 7x - 5
-11 > 6x - 5
-6 > 6x
-1 > x
Step 3: Rewrite
x < -1
Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
Answer:
(-4+2*2)+8
Step-by-step explanation:
2*2=4
-4+4= 0
0+8= -8
The most likely measurement for a two-story building would be 20 feet. 6 inches, 25 inches, and 6 feet all are way too short for a two-story building.