Answer:
John receives a pay of $3,500.00
Step-by-step explanation:
x = John's pay
x = 1/2x + 250 + 3/7x [1/2 = 7/14 and 3/7 = 6/14]
x = 13/14x + 250
x - 13/14x = 13/14x - 13/14x + 250 [1x = 14/14]
1/14x = 250 [multiply both sides by 14]
x = 3500
Check:
3500 = 1/2(3500) + 250 + 3/7(3500)
3500 = 1750 + 250 + 1500
3500 = 3500
Answer:
cos 120° = -1/2
Step-by-step explanation:
cos 120° = (adjacent side) / (hypotenuse.
Here the adjacent side (the side next to the central angle in this 30-60-90 triangle) is -1. Then the hypotenuse is 2 and the opposite side is √3.
Thus, cos 120° = -1/2
Answer:
5
Step-by-step explanation:
When a square root of an expression is multiplied by itself, the result is that expression
5=x
Answer:
<em>PT=30 units</em>
Step-by-step explanation:
Given that:
Line PQ which has a mid point at T.
and
To find:
PT = ? in simplified terms.
Solution:
First of all, let us recall that mid point on a line segment is a point that divides the line in two equal parts.
In other words:
If a point B is the mid point of line segment AC, then AB = BC.
Here, the point T is the midpoint of PQ.
i.e. PT = TQ
Putting value of 
in PT above:
