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Eduardwww [97]
3 years ago
14

Can somebody please help me!!

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

the answer is c

congruence can happen in any shape as long as all the angles and sides match up

Step-by-step explanation:

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Answer:

7.21 units

Step-by-step explanation:

The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.

The perpendicular distance (d) between a point (x_1,y_1) and the line Ax + By + C  = 0 is given as:

d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)

hence A = 2/3, B = -1, C = -1, x_1=2,y_1=9\\. Therefore:

d=\frac{|\frac{2}{3}(2)+(-1)(9)+(-1) |}{\sqrt{\frac{2}{3}^2+(-1)^2 } } \\\\d=7.21

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3 years ago
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3 years ago
20x+20-4-15x=96-32 solution??
svetoff [14.1K]

<em>20x</em>+20-4<em>-15x</em>=96-32

(next:subtract 96-32)

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(next: then combine like terms)

<em>5x</em>+16=64

(next: subtract 16 from 64)

<em>5x</em>=48

(next: divide 48/5)

<em>x=9.6</em>


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Step-by-step explanation:

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