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4 years ago

Please please please help me!

Mathematics

1 answer:

OleMash [197]4 years ago

6 0

Answer:

<76

Step-by-step explanation:

Remark

You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.

Properties

<ABG = x Given

<ABG = <BGF Alternate interior angles are equal.

<BGF = x Substitute

x + 2x - 9 = 180 Consecutive angles in a ||gram equal 180 degrees.

3x - 9 = 180 Add 9 to both sides

3x - 9 +9 = 180 +9

3x = 189 Divide by 3

x = 63

<DHG = 2x - 50 Given

<DHG = 2*63 - 50 Substitute for x

<DHG = 76

<IDC = 76

<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.

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The formula for slope is y = mx + b
y is the y value, m is the slope, x is the x value, and b is the y intercept.

The equation given for line e is
$y = \frac{ - 9}{2} x + 7$
Therefore the slope of line e is -9/2
Line f is parallel and parallel lines have the same slope.

So the slope is line f is -9/2.

The picture isn't that clear and I can't really tell if it's-9/2 or 9/2.
But whatever it is, the slope of line f is the same as the slope of line e because they are parallel.
Good luck!

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