When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.
This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.
Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.
In sum:

,

.
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Answer:
x =
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( -
)x +
= - 9 +
(x -
)² =
( take the square root of both sides )
x -
= ±
= ±
( add
x =
±
= 
Answer:
$12
Step-by-step explanation:
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Step-by-step explanation:
idk the answer but find the area of a circle with the radius of 45 m and then find the area of the rectangle then add them together.