Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Hey! The answer is: 0.56, 0.65, 4.56 ! Have a great day, bud!
Answer:
2427.26 $
Step-by-step explanation:
Just use this formula when you have such type of problems:
N = N° (1 + %)^t
Where N = final amount
N°= initial amount
t = peroid of time
Now let's solve:
N = 1000(1 + 0.03)^30
N = 2427.26
Answer:
La cantidad de dinero adeuda al final de los dos procesos es $1450
Step-by-step explanation:
Los parámetros del proceso son;
La cantidad ahorrada para comprar ropa = $2,000
La cantidad pagada por la ropa = $2600
La cantidad prestada a un amigo = $650
La cantidad adeuda por teléfono celular durante 3 meses = $250
Deje que 'C', represente la suma de las transacciones anteriores, tenemos;
∴ C = 2,000 - 2,600 - 650 - 200 = -1,450
La suma de las transacciones anteriores, C = -$1,450
Por lo tanto, al final de los dos procesos, la cantidad de dinero adeuda es C = $1,450
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