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kolezko [41]
3 years ago
12

Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.

Mathematics
1 answer:
artcher [175]3 years ago
8 0

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

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Answer:

x = 2

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (4+(4•(x-2)))-(2•(x+1)-x)  = 0

Step  2  :

Equation at the end of step  2  :

 (4 +  4 • (x - 2)) -  (x + 2)  = 0

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)

Equation at the end of step  4  :

 3 • (x - 2)  = 0

Step  5  :

Equations which are never true :

5.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

One solution was found :

                  x = 2

Processing ends successfully

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3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

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Use change of base formula.

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Simplify.

x² (log 27 / log 9) = x + 4

x² (log 3³ / log 3²) = x + 4

x² (3 log 3 / (2 log 3)) = x + 4

x² (3 / 2) = x + 4

3x² = 2x + 8

3x² − 2x − 8 = 0

(x − 2) (3x + 4) = 0

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3 years ago
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frozen [14]

Answer:

Step-by-step explanation:

Socratic had the answer on there I think

7 0
3 years ago
Find the midpoint of A and B where A has coordinates (2,3) and B has coordinates (8,9).
Effectus [21]

Answer:

(5,6)

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

(2,3)

(8,9)

10 divided by 2=5

12 divided by 2 is 6

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3 years ago
What is 7.5% of 80? Round to the hundredth
AfilCa [17]

7.5 percent equals to 7.5/100
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5 0
3 years ago
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