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Paha777 [63]
2 years ago
11

Il

Mathematics
1 answer:
sashaice [31]2 years ago
8 0

Answer:

Step-by-step explanation:

If slope of two lines are equal, then they are parallel lines.

If product of the slope of two lines is (-1), then they are perpendicular lines.

C) y = x + 2

Slope m1 = 1

y = -x + 3

Slope m2 = -1

m1 * m2 = 1 * (-1) = -1

These are perpendicular lines.

D) y = 3x + 2

Slope = m1 = 3

y = 3x - 2

Slope = m2 = 3

Slopes are equal. So, they are parallel lines.

E)y= 3

This line is parallel to x -axis.

x = 4

This line is parallel to y-axis.

So, both lines are perpendicular to each other.

F) y = x + 8

slope m1  = 1

y = -x + 3

Slope = m2 = -1

M1 * m2 = 1 * (-1) = -1

So, These are perpendicular lines

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Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

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  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

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\overline{KN}\cong \overline{NM},

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7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

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3 years ago
6x-9-2(1-x)=X+9 solve this​
Kay [80]
  • Answer:

<em>x = 20/7</em>

<em>x = 2  6/7</em>

  • Step-by-step explanation:

<em>Hi there !</em>

6x - 9 - 2(1 - x) = x + 9

<em>6x - 9 - 2 + 2x = x + 9</em>

<em>6x + 2x - x = 9 + 9 + 2</em>

<em>8x - x = 20</em>

<em>7x = 20</em>

<em>x = 20/7</em>

<em>x = 2  6/7</em>

<em />

<em>Good luck !</em>

3 0
3 years ago
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