Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Just compare it as a regular graph.:)
-32 - 15n = 15
hope that helps
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Answer: 21.9 pounds of his weight is made up of fat.
Step-by-step explanation:
The total weight of the individual is 129 pounds. The individual has a body fat percentage of 17.7%.
Therefore, the number of pounds of his body that is made up of fat would be
17.7/100 × 129 = 0.177 × 129 = 21.93 pounds.
Approximating to the nearest tenth, it becomes 21.9 pounds.
