55+p=105
subtract 55 from both sides
p=50
MAGIC
The missing justification in Julia's angle proof is; Corresponding Angles Theorem
<h3>What is the angle theorem used?</h3>
We know that m∠AGE ≅ m∠HGB because they have congruent angles and are vertical angles.
Similarly, m∠HGB ≅ m∠CHE are alternate interior angles because two congruent angles on the inner side of the parallel lines are formed by a transversal.
In the diagram, m∠AGE ≅ m∠CHE would have to be corresponding Angles Theorem because parallel lines cut by a transversal would create congruent corresponding angles. That means a pair of angles on the same side of one of two lines that is cut by a transversal and on the same side of the transversal.
Read more about Angle theorem at; brainly.com/question/24839702
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Answer:
There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.
Short answer: C
Remark
Since b is all by itself in equation 2, Substitute it into equation 1.
2a + 3b = 5
b = a - 5 Put this result in equation 1. Be sure and use brackets.
2a + 3(a - 5) = 5 Remove the brackets.
2a + 3a - 15 = 5 Notice the -5 inside the brackets becomes - 15
Combine like terms on the left.
5a - 15 = 5 Add 15 to both sides
5a = 5 + 15
5a = 20 Divide by 5
a = 20/5
a = 4
So far, c is the only possible answer.
b = a - 5
b = 4 - 5
b = - 1
