Answer:
x = 55
y = 60
Step-by-step explanation:
If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. So E and G are supplementary, and H and F are supplementary.
x + 15 + 2x = 180
3x + 15 = 180 combine like terms
3x = 165 subtract 15 from both sides
x = 55 divide both sides by 3
y + 3y - 60 = 180
4y - 60 = 180 combine like terms
4y = 240 subtract 60 from both sides
y = 60 divide both sides by 4
the answer will be 16x
1 gallon 16x as constant variable
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

First, find the coordinates of the midpoint M(xm,ym):


Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:


CM=2.5
Now find the distance AB:

AB=5
AB/2=2.5
It's proven CM is half of AB
Answer:
x^6/27y^12
Step-by-step explanation:
(3. 1?x^2 y^4)^3
(3y^4/x^2)^3
witch you get x^6/27y^12
hope i helped
Answer:
<h3>
The width (side perpedicular to the barn):
<u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn):
<u>y = 16 m</u> </h3>
Step-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at: 
a = -2, b = 32

32-2x = 32 - 2•8 = 16