Answer:
x = 7
Step-by-step explanation:
A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that
7x+8 = 9x - 6
subtract 7x from both sides to put the variable on one side
2x - 6 = 8
add 6 to both sides to isolate the variable and its coefficient
2x = 14
divide both sides by 2 to isolate x
x = 7
 
        
             
        
        
        
Answer:
- translate down 3
- reflect across the horizontal line through A
Step-by-step explanation:
1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.
In the first attachment, we have elected to translate the line down 3 units.
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2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A. 
Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.
In the second attachment, we have elected to reflect the line across a horizontal line through A.
 
        
             
        
        
        
drawing isn't shown, pls take a screenshot or photograph the exercise
 
        
             
        
        
        
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1 
b = length of side 2
h = height 
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore, 
Z = 2.11 cm
 
        
             
        
        
        
Given:
Consider the given expression is:

To find:
The simplified form of the given expression.
Solution:
We have,

Using distributive property, it can be written as:



Therefore, the correct option is A.