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s2008m [1.1K]
3 years ago
11

The black triangle was transformed to make the gray triangle. Write an

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

m<4 = 117 degrees

Step-by-step explanation:

Knowing that angle 1 is 63 degrees, we can look at the other angle on the same side of the line, angle 4.

Angles on one side of a line add to 180 degrees.

180 - 63 = 117

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Read 2 more answers
Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\&#10;2y=4x+3 \ \ \ |\div 2 \\&#10;y=2x+\frac{3}{2}

A. \\&#10;-2y+4x=1 \ \ \ |-4x \\&#10;-2y=-4x+1 \ \ \ |\div (-2) \\&#10;y=2x-\frac{1}{2} \\ \\&#10;B. \\&#10;3y-6x=6.5 \ \ \ |+6x \\&#10;3y=6x+6.5 \ \ \ |\div 3 \\&#10;y=2x+\frac{13}{6}

C. \\&#10;y-2x=3 \ \ \ |+2x \\&#10;y=2x+3 \\ \\&#10;D. \\ &#10;-2y-4x=3 \ \ \ |+4x \\&#10;-2y=4x+3 \ \ \ |\div (-2) \\&#10;y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
4 years ago
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