Three lines,
k
·
l
AD ,
k
·
l
BE , and
k
·
l
CF intersect at point O as shown in the diagram.
k
·
l
AD is
perpendicular to
k
·
l
FC . /EOD measures 32°. What is the measure of /AOB?

a. What is the measure of /FOD? How do you know?
b. Name two adjacent angles that together form /FOD. What is the sum of their measures?
c. What is the measure of /FOE? Explain.
d. Together, /FOE, /FOA, and /AOB form a line or a straight angle that measures 180°.
Explain how you can find the measure of /AOB.

In a small section of a stadium there are 40 spectators watching a game between the cook islands and fiji. they all support at least one of the two teams. 25 spectators support the cook islands and 16 of these support both teams. how many support only fiji?

For a science project, a high school research team conducted a survey of local air temperatures. based on the results of the survey, the found that the average temperatures were around 10 degrees higher than expected. this result was wrong. the trouble with the survey was that most of the locations were exposed to direct sunlight and located over asphalt or sand, which resulted in higher temperatures than normal. this is a classic example of an error in which phase of inferential statistics?

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.