Answer: 
Step-by-step explanation:
The missing figure is attached.
For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.
Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.
Knowing that, you can write the following equation:

Now you must solve for "x" in order to find its value. This is:

Then:

You know that:

Therefore, since you know the value of "x", you can substitute it into
and then you must evaluate, in order to find the measure of the angle A. This is:

Answer:

Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
Answer:
a) Perimeter = 20.5 Inches
Area is 15 Sq Inches
b) Perimeter is 61.4 Cms
Area is 210 Sq cm
c) Perimeter is 22 yards
Area is 21 Sq Yards
Step-by-step explanation:
a) Perimeter = sum of all the sides
= 8+7.5+5
=20.5
Perimeter = 20.5 Inches
Area of Triangle =
Base = 7.5 In
Height = 4 In



Hence Area is 15 Sq Inches
b) Perimeter = Sum of all the sides
P=13+23+13.4+12
P=61.4
Perimeter is 61.4 Cms
Area of trapezium = 



Area is 210 Sq cm
c) Perimeter = Sum of all the sides
P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram
P = 22
Perimeter is 22 yards
Area of a parallelogram = 


Area is 21 Sq Yards
She probably does that for exercise. So, she gets to the level that she wants, and she gets more exercise so she gets there faster.