The theorems that matches each respective description are:
- Vertical Angles Theorem - 1
- Triangle Sum Theorem - 2
- Corresponding Angles Postulate - 5
- Same-Side Interior Angles Theorem - 8
- Isosceles Triangle Theorem - 3
- Alternate Exterior Angles Theorem - 7
- Triangle Midsegment Theorem - 4
- Alternate Interior Angles Theorem - 6
<h3>What is the Vertical Angles Theorem?</h3>
- This theorem states that a pair of vertical angles that are formed will always be congruent.
- Number 1 description matches this theorem.
<h3>What is the Triangle Sum Theorem?</h3>
- This states that all three interior angles of a triangle equals 180 degrees.
- Number 2 description matches this theorem.
<h3>What is the Corresponding Angles Postulate?</h3>
- This states that the corresponding angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 5 description matches this theorem.
<h3>What is the Same-Side Interior Angles Theorem?</h3>
- This states that the same-side interior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 8 description matches this theorem.
<h3>What is the Isosceles Triangle Theorem?</h3>
- This states that the the two equal sides of an isosceles triangle are directly opposite the two congruent angles of the triangle.
- Number 3 description matches this theorem.
<h3>What is the Alternate Exterior Angles Theorem?</h3>
- This states that the alternate exterior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 7 description matches this theorem.
<h3>What is the Triangle Midsegment Theorem?</h3>
- This states that the midsegment of a triangle is always half the length of the third side it is parallel to.
- Number 4 description matches this theorem.
<h3>What is the Alternate Interior Angles Theorem?</h3>
- This states that the alternate interior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 6 description matches this theorem.
Learn more about Angles Theorem on:
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The third option! ST because it is literally in between both of the segments
Answer:
Solution: 
, 
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
x + 4y = 14
3x - 2y = 7
using the elimintation method.
To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.
It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:
-3x - 12y = -42
And add it to the second:
3x - 2y = 7
To result:
-14y = -35
Divide by -14:
Simplifying:
Now calculate x:
Solution: ,
More than one liter because it only depends how bog your sink is...I believe it is more than one liter
