Answer:
The answer to question 5 is x = 23. The answer to question 6 is x = 17.
Step-by-step explanation:
Two Key Points:
- Angles on a straight line always add up to 180°
- The angles in the inside of a triangle add up to 180°
I have attached a picture showing how to do the two problems. I hope this helps!
Answer:

Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:

So:

The smaller rectangle

The difference between this areas give the area of the shaded region.
So:


Open brackets

Collect like terms


<em>The above equation can be used to solve for x</em>
Answer:

Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
so
In this problem

solve for x
Multiply by 2 both sides

subtract 2x both sides


Adds 1 both sides

Answer: 15
Step-by-step explanation:
1/3x - 2 = 3
1/3x = 5
x = 15