The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
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brainly.com/question/12591450
Kendall and Sophia swam (2n - 12) laps together
<em><u>Solution:</u></em>
Given that, Kendall Swam (n) laps in the pool
To find: Number of laps swam together
From given statement,
Number of laps by Kendall = n
Also, Sophia swam 12 less than Kendall
Therefore, number of laps swam by Sophia is 12 less than the number of laps by Kendall
Number of laps by Sophia = Number of laps by Kendall - 12
Number of laps by Sophia = n - 12
<em><u>How many laps did they swim altogether ?</u></em>
Number of laps swam together = Number of laps by Kendall + Number of laps by Sophia
Number of laps swam together = n + n - 12 = 2n - 12
Thus they swam (2n - 12) laps together
Answer:
<h3>I cant see your question can you show it properly??</h3>
Answer:
y = 3
Step-by-step explanation:
y = k/x
xy = k
3 × 8 = k
k = 24
x = 8
y = 24/x
y = 24/8
y = 3
<h3>Hey there! </h3><h2>93- (-4) </h2><h2>Double negatives (-) makes a positive (+) </h2><h2>93 + 4 = 97 </h2><h2>97 = 97 </h2><h2>So, this makes this statement TRUE </h2><h3>Good luck on your assignment and enjoy your day! </h3><h3>~
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