Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")
<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.
(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5
Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.
Answer:
Read it and do your best
Step-by-step explanation:
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
Answer: (x, y) transforms into (-x, y)
Step-by-step explanation:
When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.
So if we do a reflection over the y-axis, then the value of y must be fixed.
So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)
So the rule is, the y value remains equal and the x changes of sign.
Answer:
W = 15 ft. and L = 30 ft.
Step-by-step explanation:
Perimeter = 90 ft.
Twice as long as it is wide: L=2W
P = 2(L + W) = 2(2W + W) = 6W
90 = 6W
W = 15 ft. and L = 30 ft.