**Answer:**

** A. Because the measure of the angle is and the angles and are Vertical angles. Therefore, they are congruent ( )**

** B. **

**Step-by-step explanation:**

<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />

You can observe in the figure that the parallel lines and are intersected by a another line (this is a transversal).

** Let's begin with PART B:**

** **Observe that the angles and are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".

Since the lines and are parallel, we know that the Alternate Interior Angles are congruent. Then:

**Now we can solve the PART A.**

Observe the figure.

Since the angle and the angle share the same vertex, they are "Vertical angles" and, therefore, they are congruent:

First thing you need to do is distributive property and that will give you

7-56-7x=-14+4x then combine like terms which will then give you

-49-7x=-14+4x Next get your letters on the left do that by subtracting 4x which will give you -49-11x=-14. After that you will add 49 to both sides which will give you

-11x= 35. Divide by -11 to get x=3.18

**Answer:**

7/12

**Step-by-step explanation:**

7/9 times 6/8 (which is simplified to 3/4) comes out simplified to 7/12. You would do this because you have 7 blue marbles and 9 total marbles at first, then you take one of each away. You want to find the probability, so you multiply both fractions

If it is a fraction equal to .50 or more you raise it up. if it is lower than .50 you round down'

**Answer:**

**Step-by-step explanation:**

Let number of hours be x

<u>Lakeshore paddle cost:</u>

<u>Lake paddle cost:</u>

<u>Required inequality:</u>

- 10x + 4 < 12x
- 12x - 10x > 4
- 2x > 4
- x > 2

Lakeshore paddle costs less when time of rent is greater than 2 hours