Aconjecture and the paragraph proof used to prove the conjecture are shown. drag an expression or phrase to each box to complete the proof.

Angle 2 is equal to angle 3, by definition of angle bisector. In fact, a line is an angle bisector if it cuts the angle in two equal angles, which in this case are 2 and 3.

Finally, we can state that angles 1 and 3 are the same by the transitive property of congruence, because we prooved that angle 1 equals angle 2 and angle 2 equals angle 3, so we can conclude that angle 1 equals angle 3.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.