Given:

And

Required:
To find the two possible values of c.
Explanation:
Consider

So

And also given

Now from (1) and (2), we get


Now put a in (1) we get

We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have

When a=5 and b=3, we have

Final Answer:
The option D is correct.
31 and 41
Answer:
5
Step-by-step explanation:
5
1/3 chose hamburger and 3/8 chose pizza
add them together
1/3 + 3/8
get a common denominator of 24
1/3 *8/8 + 3/8 *3/3
8/24 + 9/24
17/24
Choice D
The slope is -3/4
Step-by-step explanation:
You figure this out by using the Rise/Run method.
The rise is how many units up (+) or how many units down (-) the points are away from each other, and rise is how many units to the left or right the points are away from each other.
Since the line is going at a downward angle, we can tell that the slope will be a negative slope. We can see that the 2nd point is 3 units down from the first, and the 2nd point is 4 units to the right of the first one. With this information, we can figure out that the slope is -3/4
Answer:
<em>The area of the trapezium is 168</em>
Step-by-step explanation:
<u>Area of a Trapezoid</u>
Given a trapezoid of parallel bases b1 and b2, and height h, the area is calculated with the formula:

The trapezoid in the figure has b1=15 and b2=27. We need to find the height. If we focus on triangle BCD, we can calculate the height as the distance EC by using the Pythagora's Theorem:

The side BC can be found as half the difference of the bases:

Solving for EC:


Now we have the height, calculate the area:


A = 168
The area of the trapezium is 168