Answer: A
Step-by-step explanation:
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
Given the width is  of the length, then
 of the length, then
y - 4 =  (2y + 6)
(2y + 6)
Multiply through by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
Thus
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
 
        
             
        
        
        
Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
 
        
             
        
        
        
Answer:
a = 55/6 
Step-by-step explanation:
<u>Solving in steps:</u>
- 3/5a = 5 1/2
- 3/5a = 11/2
- a = 11/2 : 3/5
- a = 11/2*5/3
- a = 55/6  or  9 1/6