The answer to this question is 82
A. side AB = 38/3 units B.m∠VYX =77°
Step-by-step explanation:
A.A rhombus has its four sides equal. This means side AB=side CD
Given that AB=5x+1 and CD=2x+8 equate the two sides to find value of x as;
5x+1=2x+8
collect like terms
5x-2x=8-1
3x=7
x=7/3
side AB = 5x+1
AB= 5*7/3 +1
AB=35/3 +1
AB=35/3 +3/3 = 38/3
B.
The diagonals of a rhombus intersect to form 90°
Hence
(3n²-0.75)°=90°
3n²=90°+ 0.75°
3n² =90.75° -----dividing by 3 both sides
n² =90.75°/3 =30.25°
n²=30.25°
n=√30.25°
n=5.5°
so angle Z =90°
and angle ZVW =(9n+2)°
∠ZVW = (9*5.5 +2 )° =51.5°
In a rhombus all four sides are equal, thus side VY = YX.This means triangle VYX is an isosceles triangle.
Hence angle ∠YVZ=∠WVZ =51.5°, and because VYX is an isosceles triangle then ∠YXV =51.5° so
∠VYX= 180°-(51.5°+51.5°)
=180°-103°=77°
Learn More
Properties of a Rhombus : brainly.com/question/1305249
Keywords : Rhombus, fraction, simplest form
#LearnwithBrainly
Hello There!
2² - 6 = -2
3² - 6 = 3
4² - 6 = 10
Etc....the list goes on
Hope This Helps You!
Good Luck :)
- Hannah ❤
Given:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

To find:
The maximum amount of profit the company can make, to the nearest dollar.
Solution:
If a quadratic equation is
, then the vertex is

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.
We have,

Here,
. Clearly, a<0. So, the vertex is the point of maxima.



Putting x=23.931 in the given equation, we get



The vertex is at (23.931,6568.138).
Therefore, the maximum profit is $6568.138 when x=23.931.
When the 10 is to a negative power you move the decimal to the left. in this case its 5 spots. i believe your answer is .00005003