Answer:
Angles opposite one another that share a vertex are called <u>vertical</u> angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are <u>congruent</u>
When two parallel lines are crossed by another line called the <u>transversal</u> the angles created inside the parallel lines but on opposite sides of the crossing lines are called <u>alternate</u> <u>interior</u> angles. Angles of this type have the same measurement as one another. Two figures are <u>similar</u> if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
The perimeter of the minor segment is 77. 4m
<h3>How to determine the perimeter</h3>
The formula for determining the perimeter of the minor segment is given as;
Perimeter = θ/360 × 2πr + 2r sin θ/2
where;
Substitute into the formula;
Perimeter = (72/360 × 2 × 3. 142 × 24. 5) +( 2 × 24. 5 × sin 72)
Perimeter = 30. 79 + 46. 60
Perimeter = 77. 4 m
Thus, the perimeter of the minor segment is 77. 4m
Learn more about segment of a circle here:
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Answer:
30 miles 90 miles
----------------- = -----------------------
1.5 hours 4 hours
the dashes between the number represents me making a fraction lol.
All you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:
2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15
This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.
