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.
306=2*153=2*3*51=2*3*3*17
54=2*27=2*3*9=2*3*3*3,
so 306= 2*3*3*17, and 54 = 2*3*3*3
GCF we are looking for all factors that belong to both of these numbers, that are common for both numbers.
306= 2*3*3*17,
54 = 2*3*3*3
GCF = 2*3*3
LCM should include all factors that belong as first as second numbers, and we take prime factor from the number that has maximum repetition of it
306 = 2*3*3*17
54=2*3*3*3
We can see 2 - one time, 3 - 3 times , and 17 - one time
LCM =2*3*3*3*17
Product of two numbers : 306*54=(2*3*3*17) * (2*3*3*3)= 2²*2⁵*17
HCF*LCM=(2*3*3)*(2*3*3*3*17)=2²*3⁵*17
So we can see that
Product of two numbers = HCF*LCM=2²*3⁵*17
If you need you can calculate
306= 2*3*3*17,
54 = 2*3*3*3
GCF = 2*3*3=18
LCM =2*3*3*3*17=918
GCF*LCM=18*918=16524
Product of 306*54= 16524
The answer to 47 divided by 3619 is 77
Answer:
$50
Step-by-step explanation:
Let x represent the cost of the cell phone.
Since the TV cost 5 times as much as the cell phone, its cost can be represented by 5x.
Since the computer cost 2.5 times as much as the TV, its cost can be represented by 12.5x.
Create an equation to represent the situation, and solve for x:
x + 5x + 12.5x = 925
18.5x = 925
x = 50
So, the cell phone cost $50
