Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
42
Step-by-step explanation:
hey 42+9=51 so this can be the ✔️answer
Answer:
∠1=135°
∠2=45°
∠3=45°
∠4=135°
∠5=135°
∠6=45°
∠7=45°
∠8=135°
Step-by-step explanation:
→∠1=∠4[Being vertically opposite angles]
→∠4=135°
→∠1=∠5[Corresponding angles]
→∠5=135°
→∠5=∠8[Being vertically opposite angles]
→∠8=135°
→∠1+∠2=180°[Sum of linear pair]
→∠2=180°-135°
→∠2=45°
→∠2=∠3[Being vertically opposite angles]
→∠3=45°
→∠3=∠6[Alternate angles]
→∠6=45°
→∠6=∠7[Being vertically opposite angles]
→∠7=45°
Answer:
Una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.
Step-by-step explanation:
De acuerdo con este problema, la cantidad de calorías que se quema es directamente proporcional al tiempo de viaje en bicicleta. Si sabemos que una galleta aporta 150 kilocalorías, entonces 5 galletas equivalen a 750 kilocalorías.
Por regla de tres simple calculamos el tiempo requerido para quemar 750 kilocalorías:
Es decir, una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.
Answer is $240.00 because 2% of $4000 is 80. Multiply 80 by 3 years and you get $240.00
