So, since the polygons are similar, they will share a scale factor.
The dilation is a reduction.
SF= preimage/image
SF=48/40
SF= 1.2
To find the value of x, multiply 20 by 1.2, so:
20(1.2)=24
Thus, x = 24
Now, to check if the sides are proportional (this will determine if the polygons are, in fact, similar.)
24/20=1.2
48/40=1.2
BTW, the missing side measure for the image is 40 since 48 is its corresponding side, and 48/1.2 (SF) is 40.
Hence, we have 48/40= 1.2
<span>ʕ •ᴥ•ʔ</span>
A) Every T is worth 7 points, and every F is worth 3 points. So if we let T = 7 and F = 3, we can count how many T's and F's each team scored and write it as an expression.
So for the East Side Bulldogs, they have 7 touchdowns and 6 field goals, thus the expression for them is:
7T + 6F
For the West Side Bulldogs, they have 5 touchdowns and 5 field goals, thus the expression for them is:
5T + 5F
B) The difference would be written as:
7T + 6F - (5T + 5F) = 2T + F
C) To determine how many more points the winning team has than the losing team, calculate the scores of the two teams. Then subtract the smaller number from the larger number to determine the score differential.
Answer:
20
Step-by-step explanation:
We know that the formula for the area of something is 1/2 * base * height
So we multiply 1/2 * 8 * 2 for The first triangle and get 8
Repeat for the other 3:
1/2* 2*2 = 2
8+8+2+2 = 20
* there are 4 triangles but I only needed to do the formula for two of them because they have identical triangles.
I hope this helps :)
- Darrell (the 1 inventor)
Answer:
All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:
given the second expression:
x - y = 1
We'll replace y with it's value in the first expression:
x - (y) = 1
x - (5 - 2x) = 1
Now we can expand the resulting equation:
x - 5 + 2x = 1
So <em>neither</em> of the answers provided are correct.
You can then solve for x:
x - 5 + 2x = 1
x - 5 + 5 + 2x = 1 + 5
x + 2x = 6
3x = 6
3x/3 = 6/3
x = 2
After that, you can find y by plugging x into either of the two original equations:
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1