Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV
solve the equation for x
Subtract 11 from both sides
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
Answer:
x = 1.2...
Step-by-step explanation:
Start with the given equation and isolate the variable.
6.2x + 1.2 = 8.9
Subtract 1.2 from each side:
6.2x = 7.7
Divide each side by 6.2:
x = 1.2...
Yes. In fact 
is a Pythagorean triple or simply right triangle where all sides are in 
.
Hope this helps.
Sum/difference:
Let
This means that
Now, assume that 
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40
Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.
Res Fee + ($ per hr * # hrs) < $97.60
$31 + $7.40t < $97.60
subtract 31 from both sides
7.40t < 66.60
divide both sides by 7.40
t < 9
ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.
Hope this helps! :)
