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Questions 9 and 10

Step-by-step explanation:

9

1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)

2. C is midpoint of AE ; given

3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)

4.AB║DE; given

5. ∠A≅∠E; alternate interior angles are congruent (A)

6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem

10

1. YX≅ZX; given (S)

2. WX bisects ∠YXZ; given

3. ∠YXW≅∠ZXW; definition of angle bisectors (A)

4. WX ≅WX; reflexive propriety(S)

5. ΔWYX≅ΔWZX; Side-Angle-Side theorem

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3