According to the given information, and . construct a diagonal from a to c with a straightedge. it is congruent to itself by the reflexive property of equality. angles bca and dac are congruent by the alternate interior angles theorem. triangles bca and dac are congruent according to the angle-side-angle (asa) theorem. by cpctc, opposite sides ab and cd, as well as sides bc and da, are congruent. which sentence accurately completes the proof? angles abc and cda are corresponding parts of congruent triangles, which are congruent (cpctc). angles abc and cda are congruent according to a property of parallelograms (opposite angles congruent). angles bac and dca are congruent by the same-side interior angles theorem. angles bac and dca are congruent by the alternate interior angles theorem.

step-by-step explanation:

its very big question plz make it small

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

choice b

step-by-step explanation:

f(x) = 88x^2 -264x + 300

the line of symmetry of a parabola is defined by

h = -b/2a

where ax^2 +bx+c=0

so

h = - -264/ (2*88)

h = 3/2

so x = 1.5