Answer:
x=3
Step-by-step explanation:
In a right rectangle, we have:
![\sin \alpha=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
![\cos \alpha=\frac{\text{adjacent}}{hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%5Calpha%3D%5Cfrac%7B%5Ctext%7Badjacent%7D%7D%7Bhypotenuse%7D)
For your exercice, hypotenuse=12
The exercise also inform the angle 60°, then:
![\sin \text{ 60}=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{b}{12}](https://tex.z-dn.net/?f=%5Csin%20%5Ctext%7B%2060%7D%3D%5Cfrac%7B%5Ctext%7Bopposite%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7Bb%7D%7B12%7D)
HG^2 = FG * (FG + EF)
Fill in the values:
(x+3)^2 = x * (7+x)
Simplify the right side:
(x+3)^2 = 7x +x^2
Rewrite the left side using the FOIL method
x^2 + 6x + 9 = 7x +x^2
Subtract x^2 from both sides:
6x +9 = 7x
Subtract 6x from both sides:
x = 9
Now you have x solve for HG
HG = x +3 = 9+3 = 12
The answer is A.
1.A school assembly has 179 students in it. Nine teachers escort "k" number of
students out of the assembly, until there are 26 students remaining.
2. a i guess
Answer:
10
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Scaled length of the pool = 50 / 5 = 10cm