Liver will attend college where tuition is $30,000 a year. books and supplies are $1500, housing and food are $12,500, transportation is $2000, and other expenses are $1300 a year. oliver receives a scholarship for $18,000 a year and will get a student loan for $25,000 a year. he plans to get a work-study job to cover the balance. how much money does he need to earn?
a.
$4300

b.
$5600

c.
$18,100

d.
$19,600

"which statement is necessarily true if bd is an altitude to the hypotenuse of right ? abc? a.) ? adb? ? bdc b.) ? adb~? bdc c.) abbc=acbd d.) ? bac? ? bdc"

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?

Item 1 use the polygon tool to draw a rectangle with a length of 4 units and a height of 2 units. one of the sides of the rectangle falls on line ef , and the rectangle has a vertex of e. each segment on the grid represents 1 unit.