Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Answer:
Point slope form:
The equation of line is given by: 
.....[1]
where m is the slope and a line contains a point 
.
As per the given statement:
Slope(m) = 3
. = (2, 1)
Substitute these in [1] we have;
therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is;
Answer:
Step-by-step explanation:
the graph correspond to the function f :
Queremos encontrar la medida de un lado de un rectangulo, dado que conocemos la longitud del otro lado y el area del rectangulo.
Veremos que el otro lado del rectangulo mide 3/5 cm
Sabemos que para un rectangulo de largo L y ancho W, el area esta dada por:
A = L*W
En este caso sabemos que el area es igual a (15/40) cm^2.
Y sabemos que uno de sus lados (digamos que es el ancho) mide (5/8) cm.
Entonces podemos reemplazar eso en la ecuación del area:
(15/40) cm^2 = L*(5/8) cm.
Ahora podemos resolver esto para L.
L = (15/40 cm^2)/(5/8 cm) = (15/40 cm^2)*(8/5 cm^-1)
L = 3/5 cm
El otro lado del rectangulo mide 3/5 cm
Sí quieres aprender más, puedes leer:
brainly.com/question/8916743
Replace X and Y in the given equations and see if they are true:
2(5) + 2(1) = 10+2 = 12... does not equal 11 So this in not right.
2(5) +3(1) = 10 + 3 = 13 this is correct.
The answer would be: 2x+3y=13
