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Dimas [21]
2 years ago
12

What is the values of x?

Mathematics
1 answer:
olganol [36]2 years ago
3 0

Answer:

x = 34

Step-by-step explanation:

complementary angle sum to 90°

sum the 2 angles and equate to 90

x + x + 22 = 90

2x + 22 = 90 ( subtract 22 from both sides )

2x = 68 ( divide both sides by 2 )

x = 34

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At a certain company, the annual winter party is always held on the second of Friday of December. What is the latest possible da
vitfil [10]

Answer:

The latest possible date is December, 14th.

Step-by-step explanation:

Notice that the second Friday of December is n+7, where n is the date for the first Friday of December. So, the latest the first Friday, the latest the second. As the weeks have seven days, the first Friday will be between 1st and 7th of each month. So, the latest first Friday will be 7th. Therefore, the latest second Friday will be 14th.

7 0
3 years ago
Write in the slope-intercept form an equation of the line that passes through the given points.
cluponka [151]

Answer:

y=17/3x-26

Step-by-step explanation:

So what you need to do is find the slope and y-intercept. Then, you write it in y=mx+b form. m=slope, b=y-intercept. So in this case, 17/3 is the slope, and -26 is the y-intercept. Hope this helps :)

7 0
3 years ago
The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
barxatty [35]
15 I’m pretty sure but I don’t know
3 0
3 years ago
a rectangle field has an anrea of 40cm^2. if one side of the field is 3m longer than the other side, find the new area of the fi
oksian1 [2.3K]

The area of the field where the length of each side is increased by 10% is 48.4 cm^{2}.

Step-by-step explanation:

The given is,

               A rectangle field has an area of 40 cm^{2}

               If one side of the field is 3 cm longer than the other side

               The length of new area in each side is increased by 10%

Step:1

          Let,

                          b - One side of rectangle

                          l - Other side of rectangle

          From given.

                         l -  b +3

           Formula for area of rectangle,

                   Area, a = lb      

                          40 = ( b+3) × b

                         40 = b^{2} + 3b

           Solving the above the equation,

                          b = 5 cm

                            l = 8 cm

Step:2

          If the area of rectangle increased by 10%,

                            l = 8 + ( 8 × \frac{10}{100} )

                              = 8.8

                           b = 5 + ( 5 × \frac{10}{100} )

                              = 5.5

         Area of rectangle is,

                      a = ( 8.8 × 5.5 )

                        = 48.4 square centimeters

Result:

        The area of the field where the length of each side is increased by 10% is 48.4 cm^{2}, if a rectangle field has an area of 40 square centimeters and one side of the field is 3 cm longer than the other side.

             

5 0
3 years ago
1.Solve.
maks197457 [2]

Answer:

The answer to your question is below

Step-by-step explanation:

1.-                           y = 2x - 64

                            x - 2y = 14

Substitution

                            x - 2(2x - 64) = 14

Simplification

                            x - 4x + 128 = 14

                             x - 4x = 14 - 128

                            -3x = - 114

                               x = 114/3

                               x = 38

                             y = 2(38) - 64

                             y = 76 - 64

                             y = 12

Solution (38, 12)

2.-                            y = x - 6

                               3x + 2y = 8

Substitution

                               3x + 2(x - 6) = 8

Simplification

                              3x + 2x - 12 = 8

                              5x = 8 + 12

                              5x = 20

                              x = 20 / 5

                            x = 4

                             y = 4 - 6

                             y = -2

Solution (4 , -2)

3.-                           x - y = 12

                            27 + 3y = 2x

                            x = 12 + y

                            27 + 3y = 2(12 + y)

                            27 + 3y = 24 + 2y

                            3y - 2y = 24 - 27

                                     y = -3

                             x = 12 - 3

                             x = 9

Solution y = -3

4.-                          y = 2x + 14

                           -4x - y = 4

                            -4x - (2x + 14) = 4

                            -4x - 2x - 14 = 4

                            -6x = 4 + 14

                            -6x = 18

                                x = 18/-6

                                x = -3

                            y = 2(-3) + 14

                            y = -6 + 14

                           y = 8

Solution   y = 8

8 0
4 years ago
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