Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC; in triangle ΔFGH;
Segment = 14 Segment = 14
Segment = 27 Segment = 19
Segment = 19 Segment = 2·y + 5
∡A = 32° ∡G = 32°
∡A = ∠BAC which is the angle formed by segments = 14 and = 19
Therefore, segment = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments = 14 and = 19
Therefore, segment = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴ = = 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Answer:
615.44 in²
Step-by-step explanation:
The shape of Captain America's shield = Circular
The area of a circle = πr²
The radius of the whole shield = 14 inches.
The first ring = Red ring
Hence, the area of the red ring =
π = 3.14
3.14 × 14²
= 615.44 in²
The area of the space he needs to paint red is 615.44 in²
Answer:
36
Step-by-step explanation:
12+12+12=12x3= 36
For this ones the second value is always negative so A is not correct. Also they have to have an exact square root which 50 doesn't. So the answers are B and C
(a-6)(a+6)
(w-11)(w+11)