Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ 
∵ BC = 6 units
∵ EF = 3 units
∴ 
∵ CA = 2 units
∵ FD = 1 units
∴ 
∴ 
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
The coordinates of C are 4,6 because thats the rule for y=x
Ratio: 3/4 : 1/2
We can also write this as:
3/4 / 1/2
Flip the 2nd fraction and multiply:
3/4 * 2/1
Multiply the numerators and denominators together:
6/4
Simplify:
3/2
Since this culture of bacteria obeys the law of uninhibited growth. Given that 500 bacteria are present initially, and there are 800 after 1 hour, a growth rate of 0.470003629246 (k value) has been calculated. <span>5243 </span>will be present after 5 hours.