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mel-nik [20]
3 years ago
5

KLMN is a rectangle. Angle N measures (12a+24) Find the value of a.

Mathematics
2 answers:
kumpel [21]3 years ago
5 0
If KLMN is a rectangle. All the angles are 90 degrees. So 90 = 12a + 24.
Subtract 24 from both sides
90 - 24 = 12a
66 = 12 a

Solve for a by dividing by 12
66/12 = 5.5
Oduvanchick [21]3 years ago
4 0
12a+24 = 90 because all angles in a rectangle equal 90 degrees.
Subtract 24 from both sides.
12a=66
Divide both sides by 12
a=5.5
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jeka57 [31]

Answer:

y=1/2x-1

Step-by-step explanation:

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0.5x+3.5=6 what is x
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3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 +
klemol [59]

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

3 0
3 years ago
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