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zalisa [80]
3 years ago
8

Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles. ​

Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

The two angles are 31° and 149°

Step-by-step explanation:

Let the two supplementary angles be , x and y.

         Then, x + y = 180° ----- ( 1 )

Given :  one is 25° more than 4 times other

           Let y = 25° + 4x ------ ( 2 )

Substitute ( 2 ) in  ( 1 ) :

     x + y = 180°

     x + 25° +4x = 180°

     x + 4x = 180° - 25°

           5x = 155°

             x = 31°

Substitute x in ( 2 ) :

            y = 25° + 4x

               = 25 + 4 ( 31 )

               = 25 + 124

               = 149°

ivolga24 [154]3 years ago
4 0

Answer:

100

Step-by-step explanation:

I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance

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Can you help me please ​
alexira [117]

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

<u>Finding the horizontal component</u>

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

     = 38 cos 120°

     = 38 (-0.5)

      = -19

Thus, the  horizontal component is:

Vx = -19

<u>Finding the vertical component</u>

The vertical component can be obtained using the formula

Vy = |v| sin Ф

    = 38 sin 120°

    = 38 (0.86)

    = 32.68

Thus, the vertical component is:

Vy = -19

  • A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

As

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

or

v = -19 i + 32.68 j

5 0
3 years ago
What is the vertex of g(x) = 3x2 − 12x + 7?<br><br> (−6, −5) <br> (−2, −5)<br> (2, −5)<br> (6, −5)
34kurt

Answer:

(2, -5)

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

4 0
3 years ago
7x − 2(x + 1) = 6x + 14
TEA [102]

The answer is x= -16

3 0
3 years ago
What are the steps to find the lower and upper quartiles of a data set
Mariana [72]

Answer:

1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.

Step-by-step explanation:

6 0
3 years ago
How do you find measures using postulates and theorems?
Dennis_Churaev [7]
Just use the definitions and put them in order to explain the problem.m. for instance. why are angles a and b vertical angles? they are adjacent and they are supplementary.
8 0
3 years ago
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