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Alecsey [184]
3 years ago
9

An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer:

55° and 125°

Step-by-step explanation:

Formulate an equation x + (x+70) = 180

Combine like terms to get 2x + 70 = 180

Subtract 70 on both sides to get 2x = 110.

Divide both sides by 2 to get x = 55.

Add 70 to 55 to get 125.

Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.

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What is the radius of a circle that has a diameter of 199
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99.5

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In a forested area, the number of trees, T can be expressed as a function of the initial number of trees planted. If the initial
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N = N    (1+0.20)^5    
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3 years ago
Solve the following system of equations for all three variables.
xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1)         -5x + 3y - 5z = +8

                     <u>7x – 3y + 3z = 8</u>   {Add}

                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

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               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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3 years ago
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