Yes since a kite is a rhombus and a rhombus has 4 congruent sides.
5] The resultant vector will be:
<-6,5> and <6,-5>
=<(-6+6),(5-5)>
=<0,0>
the resultant vector is <0,0>
6] The value of x will be found as follows
tan θ=(opposite)/(adjacent)
θ=20°
hence:
tan 20=x/15
x=15tan20
x=5.4595~5.5 yd
Answer:
![x = 2](https://tex.z-dn.net/?f=%20x%20%3D%202%20)
Step-by-step explanation:
Given a right-angled triangle as shown above,
Included angle = 60°
Opposite side length = 3
Adjacent side length = x
To find x, we would use the following trigonometric ratio as shown below:
![tan(60) = \frac{3}{x}](https://tex.z-dn.net/?f=%20tan%2860%29%20%3D%20%5Cfrac%7B3%7D%7Bx%7D%20)
multiply both sides by x
![x*tan(60) = \frac{3}{x}*x](https://tex.z-dn.net/?f=%20x%2Atan%2860%29%20%3D%20%5Cfrac%7B3%7D%7Bx%7D%2Ax%20)
![x*tan(60) = 3](https://tex.z-dn.net/?f=%20x%2Atan%2860%29%20%3D%203%20)
Divide both sides by tan(60)
![\frac{x*tan(60)}{tan(60} = \frac{3}{tan(60}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2Atan%2860%29%7D%7Btan%2860%7D%20%3D%20%5Cfrac%7B3%7D%7Btan%2860%7D%20)
![x = \frac{3}{tan(60}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B3%7D%7Btan%2860%7D%20)
![x = 1.73](https://tex.z-dn.net/?f=%20x%20%3D%201.73%20)
(approximated to whole number)
20 questions. Your friend would have to get 12/20 questions right and you would get 11/20 questions right. 12 and 11 don’t have any common denominators so that’s your answer. Hope this helps!