Answer:
B
Step-by-step explanation:
Hi there!
We're given the measure of <AOC (the big angle) as 90°
and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°
we want to find the value of what x is
because of angle addition postulate, m<AOC=m<BOC+m<AOB
so we can substitute our known values into that equation
90°=14°+3x°+46°
our goal is to isolate the variable of x onto one side
add 14 and 46 together
90°=3x°+60°
subtract 60° from both sides
30°=3x°
divide both sides by 3
10°=x
therefore B is your answer
Hope this helps!
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,

Also, he drove his car from his home to New York at the rate of 45 mph,
⇒ 
And, returned over the same road at the rate of 40 mph.
⇒ 
According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the total distance from home to New York = x miles = 360 miles
⇒ 

⇒ 

If it's add you subtract if it's subtract you add
Answer:

Step-by-step explanation:
Let's solve for C.

Step 1: Flip the equation.

Step 2: Add
to both sides.


Step 3: Divide both sides by
.


Answer:

Answer:
5,789
Step-by-step explanation:
I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.
In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.