Answer:
22
Step-by-step explanation:
The segment addition theorem tells us the whole is the sum of the parts. We can use this to write an equation relating the expressions for segment length.
<h3>Setup</h3>
OQ = OP +PQ . . . . . segment addition theorem
4x +2 = (3x -3) +(4x -10) . . . . substitute given expressions
<h3>Solution</h3>
15 = 3x . . . . . . add 13 -4x to both sides
5 = x . . . . . . . divide by 3
OQ = 4x +2 = 4(5) +2 = 22
The length of OQ is 22 units.
To figure this out, just multiply .825 by 1000.
0.825 x 1000 = ?
When you rearrange the equation, you find that the solution is b)
Answer: Cost price of each pair of socks is $6.25.
Step-by-step explanation:
Given: The total amount spent by Julie before tax= $40.50
Cost price of a pair of shorts =$21.75
Now, Cost price of 3 socks =
Therefore, Cost price of 3 socks =$18.75
Let x be the cost price of each pair of socks.

Hence, cost price of each pair of socks is $6.25.
SOLUTION:

A simple sketch will help;
We can use the sine rule to solve for the angle B;

Thus;