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
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<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;
From the given data, the values are 
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;
Multiplying both sides of the equation by 105, we get;
Rounding off to the nearest meter, we get;
Thus, the height of the kite is 70 meters.
First, find out how much ribbon there is.
3 x 12 = 36
Now, see how many times you can divde that by 8.
36 can only be divided by 8 four times, and there would be 4 inches of ribbon left.
So, you would be able to make 4 bows, with 4 inches of ribbon remaining.
The slope intercept is equal to the rise/run.
So lets say to get from one point to the other, you go down 2 units and go right 3 units.
Since you went down it is a -2. If you had gone up 2 units, then it would be a positive 2.
Since you went to the right, it is a positive 3. If you had gone left 3 units, then it would be -3.
-2/3
Answer:
Sara spent 733.29
Step-by-step explanation:
