The distributive property and the additive property of equality
Answer:
45 / 27 = 30 / 18 = x / 24
x = 40
Step-by-step explanation:
Hi there!
The question here states that the two polygons are similar
Polygons that are similar have similar side length ratios.
If we want to find a side length we must create a proportional relationship
We are already given a partial proportional relationship.
Which is...
45 / __ = __ / 18 = x / __
First let's fill in the blanks
The side that is corresponding to the side with a length of 45 has a length of 27. So it would be 45/27
The side that is corresponding to the side with a length of 18 has a length of 30. So it would be 30/18
The side corresponding to side labeled "x" has a length of 24. so it would be x/24
So we would have
45 / 27 = 30 / 18 = x / 24
Now let's find x
We only need 2 ratios ( the one including x of course, and the other one can either be 30/18 or 45/27)
30 / 18 = x / 24
Now let's solve for x
Cross multiply
30*24=720
18*x=18x
We now have 18x = 720
Divide both sides by 18
18x / 18 = x
720 / 18 = 40
x = 40
To check our answers we can see if the ratios are similar
If they are then we are correct
45/27 = 1.66
30/18 =1.66
40/24 = 1.66
They are all equivalent meaning that our answers are correct
Answer:
5/3, 14/9, 41/27
Step-by-step explanation:
f(x) = (⅓)x + 1
x=0 = 2
x1 = (⅓)(2) + 1
= ⅔ + 1
x1 = 5/3
x2 = (⅓)(5/3) + 1
= 5/9 + 1
x2 = 14/9
x3 = (⅓)(14/9) + 1
= 14/27 + 1
x3 = 41/27
You have not provided the rest of the question. However, I'll tell you some information regarding the given line which you may use in solving your question.
Te general form of the linear line is:y = mx + c
where:
m is the slope of the line
c is the y-intercept of the line (value of y at x = 0)
Now, the given line is:x + y = 4
Putting this in the standardized form:
y = -x + 4
Comparing this with the general form, we would find that:slope of line (m) = -1
y-intercept of line (c) = 4
The graph of the line is shown in the attached image.
Hope this helps :)