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4 years ago

In a right triangle, the acute angles measure x + 15 and 2x degrees.

Mathematics

1 answer:

Valentin [98]4 years ago

7 0

Answer:

50°

Step-by-step explanation:

x+15+2x=90

3x=90-15=75

x=75/3=25

one acute angle=25+15=40°

other acute angle=2×25=50°

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Executive Limousine rentals charges an initial fee of $200 and $40 per hour that the limousine is in service. Jet Limousine rent

zavuch27 [327]

At 8 hours of service, the two limousine rental companies charge the same amount.

Step-by-step explanation:

Given,

Initial fee of Executive Limousine rental = $200

Per hour charges of service = $40

Let,

x be the number of hours.

E(x) = 40x+200

Initial fee of Jet Limousine rental = $120

Per hour charges of service = $50

J(x) = 50x + 120

For the charges to be same;

E(x) = J(x)

$40x+200=50x+120\\200-120=50x-40x\\80=10x\\10x=80$

Dividing both sides by 10

$\frac{10x}{10}=\frac{80}{10}\\x=8$

At 8 hours of service, the two limousine rental companies charge the same amount.

Keywords: function, addition

Learn more about functions at:

#LearnwithBrainly

5 0

4 years ago

Hellpmeh i kinda get it

RoseWind [281]

Answer:

1/2 or 50%

Step-by-step explanation:

5 are lower than 60

and 5 are =/> 60

4 0

4 years ago

Read 2 more answers

Find an equation of the line passing through the given points. Use function notation to write the equation. (3,8) and (4,13

Olegator [25]

Answer:

$f(x)=5x-7$

Step-by-step explanation:

The given line passes through the points;

$(x_1,y_1)=(3,8)$

and

$(x_2,y_2)=(4,13)$

Let us find the slope using;

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{13-8}{4-3}$

$m=\frac{5}{1}=5$

The equation is given by;

$y-y_1=m(x-x_1)$

We substitute the values into the formula to obtain;

$y-8=5(x-3)$

$y=5x-15+8$

$y=5x-7$

There the equation of the line is

$f(x)=5x-7$

7 0

3 years ago

Find the MAD of this set of data.

barxatty [35]

Answer:

2.8

Step-by-step explanation:

The given data set is;

6, 12, 10, 9, 8, 6, 2, 4, 8, 15

The mean of this set is;

$\bar X=\frac{\sum x}{n}$

$\bar X=\frac{6+12+10+9+8+6+2+4+8+15}{10}$

$\bar X=\frac{80}{10}=8$

The mean absolute deviation is given by

$M.A.D=\frac{\sum |x-\bar X|}{n}$

$M.A.D=\frac{|6-8|+|12-8|+|10-8|+|9-8|+|8-8|+|6-8|+|2-8|+|4-8|+|8-8|+|15-8|}{10}$

$M.A.D=\frac{2+4+2+1+0+2+6+4+0+7}{10}$

$M.A.D=\frac{28}{10}$

$M.A.D=2.8$

5 0

4 years ago

X°,Y° and Z° are three angles lying on a straight line.If X°=2y° and Z°=3y°,find he value of y

maks197457 [2]

Answer: " y = 30° " .
_____________________________________
<u>Note</u>: The sum total of the measure of all angles lying on a straight
             line is 180°.

So;   x + y + z = 180 .

Given:    x = 2y ;
              z  = 3y ;
__________________
Find the value of: " y " ;
_______________________
Since:   x + y + z = 180 ;

Substitute: "2y" for "x" ;
          and: "3y" for "z" ;
_______________________
       2y + y + 3y = 180 ;

                6y = 180 ;
______________________
Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
___________________________
       6y/ 6 = 180 / 6 ;

             y = 30 ;
____________________________
Let us check our work;
____________________________
     2y + y + 3y = 180 ;

Substitute our solved value: "30" ; for "y" ; in the equation; to see if the equation holds true:
____________________________
2(30) + 30 + 3(30)  =? 180 ?
____________________________
   60  + 30 + 90 = ? 180 ?
____________________________
             90 + 90 = ? 180 ? Yes!
____________________________

7 0

4 years ago