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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In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
<h3><u>Ratios</u></h3>
Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:
A)
- 3 + 1 = 4
- 16 + 4 = 20
- 4 = 20
- 3 = X
- 60 / 4 = X
- 15 = X
- Therefore, as the error would be a difference of 1, the assumption could be mantained.
B)
- 3 + 1 = 4
- 160 + 40 = 200
- 150 = 3:1
- In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
Learn more about ratios in brainly.com/question/1504221
The answer is 42! hope this helps!
Answer:
A. (-0.8,0), (1.2,0), (2,0)
Step-by-step explanation:
If you put the equation into a graphing calculator, all of the given points in this answer choice can be found on the graph as x-intercepts.
