Four explorers are trying to find the distance across an oddly shaped lake. They position themselves as shown in the diagram. Alhombra uses her compass to instruct Chou and Duong to move along the line they form with Bizet until she sees that from her perspective the angle between Bizet and Chou is equal to the angle formed between Chou and Duong. They measure the distance between Bizet and Chou to be 35 m, between Chou and Duong to be 46 m, and between Alhombra and Duong to be 100 m. How long is the lake from east to west? Round your answer to the nearest tenth of a meter.

Our goal is to collect email addresses from 60% of customers who purchase a product." so that means if i talk to 95 customers, i need to persuade to provide an email address?

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.

Ken earned $128 from his part-time job this summer. he spent 25% of his money on games. he is going to donate 1/6 of the remaining money to charity. how much money will the charity receive?