Answer:
The lines a and b are parallel
Step-by-step explanation:
When we will translate line a, then the new line b will be formed.
Now, as translation preserves orientation each point on line a will be equidistant from line b , thus holding the condition and satisfying the property of two parallel lines.
Hence, line a and line b are parallel to each other.
Answer:
13, 16, 18
Step-by-step explanation:
Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.
16 = (12 + 14 + 15 + 24 + x + y + z) / 7
16 * 7 = 12 + 14 + 15 + 24 + x + y + z
112 = 65 + x + y + z
x + y + z = 112-65
x + y + z = 47
sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.
Sin meter los valores nuevos, el ranking sería así:
12
14
15
24
el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:
X
12
14
15
y
z
24
Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:
16 + 18 = 34
x = 47-34 = 13
quedaría:
12
13
14
15
dieciséis
18 años
24
Si recalculamos la media:
m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16
Answer:
Option B is correct
36 pizzas were topped with vegetables
Step-by-step explanation:
Let x be the number.
As per the statement:
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.
The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3
then;
the number of pizza topped with meat = 4x
and
the number pizza topped with vegetables = 3x
It is also given that the pizzeria made a total of 84 pizzas that day.

Substitute the given values we get;

Combine like terms;

Divide both sides by 7 we get;
12 = x
The pizza were topped with vegetables = 3x = 3(12) = 36
therefore, 36 pizzas were topped with vegetables
Answer:
3x - 6
Step-by-step explanation:
Segment YB = x + 3
Segment BW = 2x - 9
Add the two segments.
x + 3 + 2x - 9
3x - 6
The diagonal YW is 3x - 6 units long.