and architect is trying to figure out how to lay out a kitchen, a family room, and a living room in the new house. he wants 1/2 of the floor to be the family room. once that is marked off, the architect wants 2/3 of the remaining space to be the kitchen and the rest to be the living room. what is the fraction of the whole that the kitchen will take up?

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Find the area of just the wood portion of the frame. this is called a composite figure. you will need to use your values from problem #2need all exepct 4 answerd if you can

Nicolo paganini's numbers 1184 and 1210 are amicable. the proper divisors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, and 592. the proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, and 605. use the definition of amicable (friendly) numbers to show that they are indeed amicable. which of the folowing statement uses the definition of amicable numbers to show that 1184 and 1210 are indeed amicable? o a. o b. ° c. the sum of proper divisors of 1184 is 1210 and the sum of proper divisors of 1210 is 1184 the sum of proper divisors of 1184 is greater than 1210 and the sum of proper divisors of 1210 is greater than 1184 the sum of proper divisors of 1184 is less than 1210 and the sum of proper divisors of 1210 is less than 1184