Answer: The answers are provided below
Step-by-step explanation:
15. 7c + 8d + 2c + 17d
= 7c + 2c + 8d + 17d
= 9c + 25d
16. 4(2m - 3p) + 12m + 7p
= 8m - 12p + 12m + 7p
= 8m + 12m -12p + 7p
= 20m - 5p
17. (15j +9z) - (12j + 6z)
= 15j - 12j + 9z + 6x
= 3j + 15z
18. 3y + 6.7x + y + 2.3x +10 - 7
= 6.7x + 2.3x + 3y + y + 10 - 7
= 9x + 4y + 3
19. 2b + (-6c) +5e - 11b + e+ 6c
= 2b - 11b - 6c + 6c + 5e + e
= -9b + 6e
Opposite sides being parallel proves that hte figure is a parallelogram. The sides only appear to be equal so his conclusion is not valid. He would need to show that 2 adjacent sides of the parallelogram are equal ( using the distance formula) to prove that it is a rhombus.
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Answer:
8.8
x
+
1.2
=
6
y
−
2
(
3
y
+
4
)
=
4
y
+
20
−
2
x
=
3
Step-by-step explanation: