Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
Omg! Thank you. I was stuck for like an hour till I found this.
C and D are the variables. Variables are the letters in the equation. Hope this helps!
A=
Height times the base and then divided by 2.
The 2 is because a parallelogram can be divided into 2 triangles.
Answer: the cost of plan A would be lesser than that of plan B for minutes lesser than 470
Step-by-step explanation:
Let m represent the number of minutes of monthly phone used.
In plan A the customer pays a monthly fee of $25 and then an additional 6 cents per minute of use. It means that the total cost of using m minutes in a month is
0.06m + 25
In plan B the customer pays a monthly fee of $29.70 and then an additional 5 cents per minute of use. It means that the total cost of using m minutes in a month is
0.05m + 29.7
The inequality representing the number of minutes of monthly phone use for which Plan A will cost less than Plan B is
0.06m + 25 < 0.05m + 29.7
0.06m - 0.05m < 29.7 - 25
0.01m < 4.7
m < 4.7/0.01
m < 470
