LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
X^2 = 6+5x => x^2 - 5x - 6 = 0 => (x-6)(x+1)=0
This riddle has two solutions:
x=6 or x=-1
indeed 6*6 = 36 = 5*6+6
indeed -1*-1 = 1 = 5*-1 + 6
The -1 is kind of a surprise, isn't it?
The answer would be b hope this helps :)
Answer:
75 is your grade average.
Step-by-step explanation:
To find the average you add up all the numbers you have and then divide the sum of those numbers by the number of all the numbers you have. (I hope that made sense).
63
+ 87
_____
150
150/2 = 75%
9514 1404 393
Answer:
y = (x +7)/3
Step-by-step explanation:
Multiply the given equation by y/3:
