According to the given information, segment ab is parallel to segment dc and segment bc is parallel to segment ad. construct diagonal a c with a straightedge. it is congruent to itself by the reflexive property of equality. angles bca and dac are congruent by the same reasoning. 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? (5 points))

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.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: