<span>The flag's dimensions are 40 inches by 55 inches.
Reasoning<span>:
The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.
Simplifying, we get
2y + 22/8 y = 190.
Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.
Combining terms: 4 3/4 y = 190.
Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.
Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.
Dividing by a fraction means multiplying by its reciprocal:
y = 190 × 4/19 = 760/19 = 40.
Since y = 40, calculate 11/8 y = 11/8 × 40 = 440/8 = 55.</span></span>
Utilize the! operation to determine the count of combinations.
8!/5! = 40,320/120 = 336
In 1980, if there were N individuals aged 100 or older, then by 2010, the number grew to N*1.66 for those 100 and above. A straightforward conditional expression can be framed as: If P, then Q, where P represents the hypothesis and Q is the conclusion. We understand that "The count of individuals aged 100 years or older increased by about 66% from 1980 to 2010," meaning that if we had N individuals aged 100 or older in 1980, we will have N*(166%/100%) = N*1.66 in 2010, allowing us to write a conditional statement: If there were N individuals aged 100 years old in 1980, then by 2010, we had N*1.66 individuals who were at least 100 years old.
Answer:
118.2°
Step-by-step explanation:
Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).
Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).
Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.
Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa
Dado 
por lo que
