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
Learn more about the converse alternate exterior angles theorem on:
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Answer:
All three functions have the same minimum
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
if : r the radius ( r ≠0)
the circumference is : 2πr
the area is : πr²
so : πr² = 2πr
simplify by : r π you have : r=2
Answer:
52x < $211
Step-by-step explanation:
If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with
500 - 289 = $211
With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...
52x < $211
The equation that models the situation is 15x + 9y = 450
The x-intercept is (30, 0) and the y-intercept is (0, 50)
Given the following parameters:
- Cost of concert tickets for general admission= $15
- Cost of a ticket for those with student ID = $9
Given that the total sales is $450, the equation that models this situation will be expressed as:
where:
x is the those that admitted generally
y are those with student ID
<u />
<u>Get the x-intercept.</u>
This is a point where the y-axis is zero
15x + 9y = 450
15x + 9(0) = 450
15x = 450
x = 450/15
x = 30
Thee x-intercept is (30, 0)
<u>Get the y-intercept.</u>
This is a point where the x-axis is zero
15(0) + 9y = 450
0 + 9y = 450
9y = 450
y = 450/9
x = 50
The y-intercept is (0, 50)
Learn more on intercepts here: brainly.com/question/24212383
