Answer:
See Below.
Step-by-step explanation:
Paragraph Proof:
We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.
2-Column Proof
Statements Reasons:
1)
Given
2)
Alternate Exterior Angles Converse
3)
Alternate Interior Angles Theorem
I would write a flowchart as well, but unfortunately, I never learned it that way.
Each side of a triangle has to be shorter than the sum of the other 2. The only possible answer is b: 3,5,7 (7<5+3)
0.83 * 100 = 83, so 0.83 = 83/100.
But in case you meant the slightly more interesting repeating decimal, 0.8333...:
Let <em>x</em> denote this number. Then
10<em>x</em> = 8.333...
100<em>x</em> = 83.333...
==> 100<em>x</em> - 10<em>x</em> = 83.333... - 8.333...
==> 90<em>x</em> = 83 - 8 = 75
==> <em>x</em> = 75/90 = 5/6
Answer:

Step-by-step explanation:
Use the two-point form of the equation of a line.




