If x = 10, which lines are parallel? Check all that apply. Lines b, c, d, e are cut by transversal a. Clockwise from top left, t

Question

If x = 10, which lines are parallel? Check all that apply.

Lines b, c, d, e are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, (7 x minus 5) degrees, blank, blank; by lines c and a are blank, blank, (10 x + 15 degrees), blank; by lines d and a are (12 x minus 5) degrees, blank, blank, blank; by lines e and a are blank, (8 x minus 25) degrees, blank, blank.
b is parallel to c
b is parallel to d
b is parallel to e
c is parallel to d
c is parallel to e
d is parallel to e

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Madeline 2 weeks 2022-01-07T17:17:32+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-07T17:18:42+00:00

    Answer:

    b is parallel to c

    b is parallel to d

    c is parallel to d

    Step-by-step explanation:

    edg 2021

    0
    2022-01-07T17:19:20+00:00

    Answer:

    b||c; c||d; b||d

    Step-by-step explanation:

    Substituting 10 for x, in the angle beside b we have

    7(10)-5 = 70-5 = 65

    In the angle beside c we have

    10(10)+15 = 100+15 = 115

    In the angle beside d we have

    12(10)-5 = 120-5 = 115

    In the angle beside we have

    8(10)-25 = 80-25 = 55

    The angle beside c has a vertical angle on the other side of c.  This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal.  These two angles are supplementary; this is because 65+115 = 180.  Since these angles are supplementary, this means that b||c.

    The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal.  These two angles are congruent; this means that c||d.

    Since b||c and c||d, by the transitive property, b||d.

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