Answer:
AD = 84
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 2x - 5
Since C is the midpoint of AD then AC = CD, thus
AB + BC = CD, that is
2x - 5 + 2x - 5 = x + 29
4x - 10 = x + 29 ( subtract x from both sides )
3x - 10 = 29 ( add 10 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Hence
AD = AB + BC + CD
= 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus
AD = (5 × 13) + 19 = 65 + 19 = 84
<span>the probability the probability that she will win the prize quilt:
= 15/250
= 0.06
= 6%
</span>
Answer:
Yes, they are congruent
Step-by-step explanation:
Two figures are congruent if they have the same side lengths and the same angles, all in the same order. (I mean "same order" by you couldn't have a rectangle and a kite with different orders of the sides being congruent). Now, if we use this, we can compare the sides and angles to find out that they are indeed congruent.
