Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44. 
⇒ 
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)
By applying the segment addition postulate, the <u>value of v = 7</u>
- According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:
DC + CE = DE
- Therefore, by substitution, we will have the following equation:
- Open the bracket and solve for the value of v.
v = 10
Therefore, using the segment addition postulate, the <u>value of v = 10</u>
Learn more about the segment addition postulate here:
brainly.com/question/1721582
<u>Answer</u>
14 4/9
<u>Turn 9 2/3 into an Improper Fraction</u>
Multiply 9*3 and get 27. Now add 2 and get 29 (Denominator stays the same)
9 2/3 = 29/3
<u>Turn 4 7/9 into an Improper Fraction</u>
Multiply 4*9 and get 36. Now add 7 and get 43 (Denominator stays the same)
4 7/9 = 43/9
<u>Add</u>
29/3 + 43/9 = 130/9
<u>Turn 130/9 into a Mixed Number (Divide)</u>
130/9 = 14 4/9
Hope This Helps!
The non-rounded sum is 15.579, so you’d round up to 16 since 5 and up rounds up. Hope this helps<3
