Answer:
1: No, they're not similar polygons
2: Yes, they're similar polygons
Step-by-step explanation:
1: DF/AC = 8/6 = 1.3repeating
FE/CB = 6/4 = 1.5
there is no constant of proportionality
2: 48/40 = 1.2
35/30 = 1.2
the constant of proportionality is 1.2
Answer: The answer is attached in the figure.
Step-by-step explanation: Given are four different graphs and we are to check which one matches with the equation y = 2 - x.
We have the following points on this equation.
(0,2), (1,1), (2,0), etc.
When we try to match these points with the given graphs, the we see that these points does not match with the first, third and fourth graph. The only graph containing these points is second one.
Thus, the second option is correct. Also see the attached figure for the location of the three mentioned points.
Answer:
Yes, it is true that 
is a factor of 
.
Step-by-step explanation:
Let us try to factorize
Let us try to make a whole square of the given terms:
--------------
Formula used above:
In the above equation, we had 
.
--------------
Further solving the above equation, taking 
common out of 
Taking 
common out of the above term:
So, the two factors are 
.
The statement that is a factor of is <em>True.</em>
Answer:
Your number is -10
Hope this helps :)
Step-by-step explanation:
Let x be the number
Twice a number is 2x
Added to 7 means + 7 so 2x + 7
Is means =
2x+7=
At this point I have to assume you mean
"is the same as three subtracted from THE SAME number"
Otherwise, rather than a number, we end up with the
equation of a line....
2x + 7 = x - 3 subtract x from both sides
x + 7 = -3 subtract 7 from both sides
x = -10
Your number is -10
Check: 2x+7 = x-3
2(-10) + 7 = -10-3
-20+7 = -13
-13 = -13
The answer fits the parameters of the problem.
Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
