Answer :
The value of d that makes lines e and f parallel is 13units.
It is required to find the value of d.
What is line?
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
For the lines to be parallel, then
5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent.
According to given question we have,
5(2d - 3) = 6d + 11 + 2d
Distribute left side we get,
10d - 15 = 8d + 11
subtract 8d from both sides we get,
2d - 15 = 11
Add 15 to both sides we get,
2d = 26
Divide both sides by 2 we get,
d = 13units.
Therefore, the value of d that makes lines e and f parallel is 13units.
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Answer:
d = 13
Step-by-step explanation:
For the lines to be parallel, then
5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent, thus
5(2d - 3) = 6d + 11 + 2d ← distribute left side
10d - 15 = 8d + 11 ( subtract 8d from both sides )
2d - 15 = 11 ( add 15 to both sides )
2d = 26 ( divide both sides by 2 )
d = 13
