Answer:
$2,725
Step-by-step explanation:
The maximum number of days is 7.
The cost per days is $375.
The cost for 7 days is 7 * $375 = $2,625.
The owner applies a $100 fee for cleaning which must be added to the cost of the days.
$2,625 + $100 = $2,725
The greatest value for the range is the greatest cost there can be which is $2,725.
Answer:
b=45/4
Step-by-step explanation:
This is a special triangle 30-60-90.
In big triangle hypotenuse 15, short leg x=(hypotenuse/2), x=15/2.
In smallest triangle :
1. This is also special triangle 30-60-90
2. x=15/2 hypotenuse
3. "a" is a shortest leg in the smallest triangle,
so a=(15/2)/2=15/4
a+b=15
15/4 +b=15
b=15 -15/4=15*4/4 -15/4 = 45/4
b=45/4
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Because this is a parallelogram, both the bottom and top bases are equal.
2c - 6 = 20
add 6 to both sides
2c = 26
divide both sides by 2 to isolate the variable
c = 13
The interior angles are alternating interior angles.
4b = b + 120
subtract b from both sides
3b = 120
divide both sides by 3 to isolate the variable
b = 40