These points are reflective off of the y-axis. (9,2/5) reflected over the y-axis is (9,-2/5)
Answer:
<h2>By angle sum property:</h2>
BAC+ABC+BCA=180°
90°+45°+x=180°
135°+x=180°
x=45°=BCA
<h2>since BCA=ABC=<u> </u>45° each </h2><h2>therefore,</h2>
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Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?
14S + 4C = 200
14S = 200 - 4C
S = (200 - 4C)/14
7S + 1C = 92
7S = 92 - C
S = (92 - C)/7
(200 - 4C)/14 = (92 - C)/7
7 x (200 - 4C) = 14 x (92 - C)
1400 - 28C = 1288 - 14C
1400 - 1288 = 28C - 14C
112 = 14C
C = 112/14 = 8
the price of one child ticket = $8
Answer:
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Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
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