Please just answer number 29
2 answers:
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Answer:
Given: Line p is parallel to line r.
Alternate exterior angles states that two angles in the exterior of the parallel lines, and on opposite sides of the transversal.
Alternate exterior angles are non-adjacent and congruent.
[ Alternate exterior angles]
Since, Angles are congruent if they have the same angle measure in degrees
....[1] [by definition of congruent Angles]
Linear pair states that a pair of adjacent angles formed when two lines intersect.
therefore, by definition and
forms a linear pair.
Since, linear pair are always supplementary.
is supplementary to
Supplementary angles states that two angles are supplementary that means they add up to measure 180 degree.
Substitute the equation [1] in above equation we get;
then, by the definition of supplementary angle ;
is supplementary to
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form:
m - slope
b - y-intercept → (0, b)
We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.
Therefore we have the equation:
Put the coordinates of x-intercept to the equation:
<em>subtract 4m from both sides</em>
<em>divide both sides by (-4)</em>
Finally we have the equation of a line if slope-intercept form:
The standard form:
Convert:
<em>multiply both sides by 4</em>
<em>add 5x to both sides</em>