Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
<em>But</em><em> </em><em>I</em><em> </em><em>can't</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>question</em><em> </em><em>no</em><em>.</em><em>2</em><em>6</em><em> </em><em>clearly</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>
<em>so</em><em> </em><em>text</em><em> </em><em>the</em><em> </em><em>question</em><em> </em><em>in</em><em> </em><em>comment</em><em> </em><em>box</em><em>.</em>
45 adult tickets and 80 children tickets were sold
<em><u>Solution:</u></em>
Let "a" be the number of adult tickets sold
Let "c" be the number of children tickets sold
Cost of 1 adult ticket = $ 6
Cost of 1 children ticket = $ 3.50
<em><u>They sold a total of 125 tickets</u></em>
Therefore,
a + c = 125
c = 125 - a --------- eqn 1
<em><u>They made a total of $550. Therefore, frame a equation as:</u></em>
number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550

6a + 3.50c = 550 ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
6a + 3.50(125 - a) = 550
6a + 437.5 - 3.50a = 550
2.5a = 112.5
<h3>a = 45</h3>
<em><u>Substitute a = 45 in eqn 1</u></em>
c = 125 - 45
<h3>c = 80</h3>
Thus 45 adult tickets and 80 children tickets were sold
I believe it is approx. 1/3 but spoons come in all different sizes there would have to be one up for comparison tough question to answer