Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.
<h3>
System of equations.</h3>
![\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dy%3D2x%26%281%29%5C%5C3x%2B4y%3D22%26%282%29%5Cend%7Barray%7D%5Cright)
Put (1) to (2):
![3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}](https://tex.z-dn.net/?f=3x%2B4%282x%29%3D22%5C%5C3x%2B8x%3D22%5C%5C11x%3D22%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%2011%7D%5C%5C%5Cboxed%7Bx%3D2%7D)
Substitute the value of x to (1):
![y=2\cdot2\\\boxed{y=4}](https://tex.z-dn.net/?f=y%3D2%5Ccdot2%5C%5C%5Cboxed%7By%3D4%7D)
Solution:
![\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%3D2%5C%5Cy%3D4%5Cend%7Barray%7D%5Cright%7D)
Answer:
∠ D = 28°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of Δ ABE, thus
∠ EBC = 90° + 34° = 124°
BD bisects ∠ EBC, so
∠ EBD = 124° ÷ 2 = 62° , then
∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )
X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3