Answer:
largest angle measures 108°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
8x - 6 + 108 + 14 = 180, simplify left side
8x + 116 = 180 ( subtract 116 from both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Thus
∠ U = 8x - 6 = 8(8) - 6 = 64 - 6 = 58°
Then the largest angle measures 108° ( ∠ B )
<h3>Derek used the racquetball courts 47 times</h3>
<em><u>Solution:</u></em>
Given that,
Derek paid a yearly membership fee of $259.99 that covers all the clubs services expect use of the racquetball courts
Derek paid $3.75 each time he used a racquetball court
For the entire year at the health club, Derek paid a total of 436.24
Let "r" represent the number of times Derek used one of the racquetball courts
Therefore,

Amount paid = 259.99 + 3.75r
Derek paid a total of 436.24
Therefore,
436.24 = 259.99 + 3.75r
3.75r = 436.24 - 259.99
3.75r = 176.25
Divide both sides by 3.75
r = 47
Thus Derek used the racquetball courts 47 times
Answer: might want to edit it because we cant see the attachment
Step-by-step explanation:
With the center and the point (-6,2) you can deduce the equation of the circle
(x-xo)^2 + (y-yo)^2 = r^2
(x+3)^2 + (y-4)^ = r^2
r^2 is otained from the center and the point (-6,2)
r^2 = (-6 -(-3))^2 + (2-4)^2 = (-6+3)^2 + (-2)^2 = (-3)^2 + 4 = 9 + 4 = 13.
Then the equation of the circle is
(x+3)^2 + (y-4)^ = 13
Now we subsitute the point (10,4) into that equation and see whether it belongs to it:
(10+3)^2 + (4-4)^2 = 13^2
13^2 ≠ 13, so the point does not belong to the equation.
Answer:
$51.2
Step-by-step explanation:
She makes 6.40 an hour so to find how much she makes for 8 hours you do 6.40×8