Answer:
mCEA = 90ᴼ, as CEA forms a right angle, and by definition, right angles measure 90ᴼ.
The angle CEF is classified as a straight angle as it combines two right angles (CEA and AEF), equating to 180ᴼ altogether. Straight lines are defined to measure 180ᴼ.
AEF is determined to be a right angle as CEA is already a right angle, and since CEF is a straight line, AEF must also be a right angle.
Answer:
y 
y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction
Explicación paso a paso:
La ecuación cuadrática que tenemos es (4y - 3)² = 72
Debemos encontrar el valor de y.
Ahora, 4y - 3 = ± 6√2
⇒ 4y = 3 ± 6√2
⇒ y
Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)
(4 – 2i)(6 + 2i)
Use FOIL
First: 4 multiplied by 6 equals 24
Outer: 4 times 2i gives 8i
Inner: -2i times 6 results in -12i
Last: -2i times 2i equals -4i², which simplifies to 4
Combine the results
24 + 8i - 12i + 4
Final result: 28 - 4i
The answer is: 28 - 4i
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
