The parts that are missing in the proof are:
It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem
<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>
The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.
∠1 ≅ ∠3 and l║m because we are: given
By the transitive property,
∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.
Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.
Therefore, the missing parts pf the paragraph proof are:
- It is given
- ∠2 ≅ ∠3
- converse alternate exterior angles theorem
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90 + 20x + 10x = 180
30x = 90
x = 3
There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital
But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.
P=2 so 81-p is equal to 81-2 which equals 79
We calculate for the actual length of the thing in the model that measures 25.25 by multiplying this value by the scale factor. That is,
(25.25 cm) x (55.5 m / 15 cm) = 93.425 m
Therefore, the real dimension of the object is approximately 93.43 m.