QUESTION BELOW
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Answer:
x= 40.33
Step-by-step explanation:
In geometry, alternate exterior angles are a pair of angles that are on the outer side of two parallel lines but on opposite sides of the transversal. In other words, they are the angles that are not on the same line as the parallel lines.
The alternate exterior angles are always equal in measure. This is because when a transversal intersects two parallel lines, it creates two pairs of alternate exterior angles, and each pair of angles is supplementary to each other (meaning that their measures add up to 180 degrees).
In this case:
a° = b°
Since,, the alternate exterior angles are always equal in measure.
3x+17 = 138
subtracting 17 on both sides
3x + 17-17 = 138-17
3x = 121
dividing both sides by 3.
The value of x is 40.33 which proves that r is parallel to s.
Answer:
c) 40.3
Step-by-step explanation:
According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.
Therefore, if lines r and s are parallel, then a° = b°.
To find the value of x that proves line r is parallel to line s, solve a° = b° for x.
Therefore, the value x that proves line r is parallel to line s is:
Given that 1 km is equal to 100000 cm, the ratio of "1 cm represents 1 km" is identical to the ratio of "1:100000."
The ratio in the question has been adjusted from millimeters to centimeters and is presently being altered from centimeters to kilometers. In light of the fact that 1 centimeter is equal to 0.00001 kilometers, the original ratio of 1cm:1km can be restated as 1:100000. In other words, 1cm represents 1km is the same ratio as 1:100000. This is a demonstration of how units of measure can impact ratios and proportions in mathematics.
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