Answer:
64°
Step-by-step explanation:
<em>So supplement angles are equal to 180, so first our two angles added together will be 180:</em>
x + x = 180
<em>Now one of these angles is 6 greater than half:</em>
x + (x/2 + 6) = 180
<em>Then we will solve for x:</em>
x + (x/2 + 6) = 180
x + x/2 + 6 = 180
x + x/2 = 174
x = 174
x = 116
<em>Plug it back in:</em>
x + (x/2 + 6) = 180
/\
x/2 + 6
(116)/2 + 6
64
<em>To check:</em>
116 + 64 = 180 ✓
Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range
.
Then
.
Then
.
Finally
.
If we go through the items purchased by customers we can see that item ranges from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Total number of customers = 
As we have total
number of customers and they have varied quantity of items purchased.
Answer:
(See explanation for further details)
Step-by-step explanation:
The real expression is:

The general equation for the second-order polynomial is:

This condition must be observed for the case of a quadratic equation with equal roots:




Multiplying an odd number of negative factors equals a negative
-5* 2n -1
Calculate the product
the answer is -10n - 1
Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule


≈98.3
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem

≈36.8
The distance between the ship and the Buoy is given:

miles