Given:
A diagram of a circle O,
.
To find:
The measure of arc DC.
Solution:
According to the angle of intersecting chords theorem:
Angle at intersection of chords = Half of the sum of intercepted arcs.
Let
be the angle between the intersection of chords AC and BD.
(Linear pair)

Using the angle of intersecting chords theorem, we get



On simplification, we get



Divide both sides by 2.

Now,



Therefore, the correct option is C.
Answer:
A and C
Step-by-step explanation:
To find the volume of the hamster house, you have to separate the full shape into two shapes that you can solve the volume of. Once you do this, find the volume of each one and add them together to get the volume, 42. Now, use a calculator to evaluate these equations and see if the answer matches the volume that you found. Hope this helped!
Answer:
1/4+1/4+1/4+1/4+1/4+1/4= 1.5
3/10x2/3= 0.2
2/4x2/3= 0.33333333333 (just put 0.3 with a line on top of the 3)
6 divided by 1/2 = 12/1 or 12
9 divided by 1/3 = 27/1 or 27
2/5 divided by 3/4 = 8/15
1/2 divided by 2/3 = 3/4
Answer:
3/16
Step-by-step explanation:
1. you convert 1/4 into 16ths and you get 4/16
2. 4/16 - 1/16= 3/16
p = 6n. The equation that best represents many points n touchdowns are worth is p = 6n.
This is a problem of direct proportionality, given two variables X and Y, Y is (directly) proportional to X (X and Y vary directly, or X and Y are in direct variation) if there is a constant other than zero such that:
y = kx
A touchdown in football represents 6 points, if n is stands for the number of touchdowns, then
k = 6 is a constant that represents 6 points of a touchdown.
n is the number of touchdowns.
p is the total points from touchdowns.
p = 6n