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.
If we're talking about a box with dimensions 10 ft, 19 ft and 20 ft, it's probable that the instructions say to calculate the volume. That would be
V = (10 ft)(19 ft)(20 ft) = 3800 cubic feet.
Answer:
x = ±10
Step-by-step explanation:
4x² - 400 = 0
Add 400 to both sides
4x² = 400
Divide both sides by 4
x² = 100
Take the square root of both sides
x = ±10
In the equation you have to replace all x's with -1
f (-1) = (-1)^2 - 8(-1) +5
f (-1) = 1 + 8 + 5
f (-1) = 14
the f(-1) stand for the function of -1. it is also equivalent to y
For the function
We can use the formula for the axis of symetry, which is
With the values substituted, we get...
Therefore the axis of symmetry is