Answer:
8
Step-by-step explanation:
y=1x+11
19=x+11
8=x
I have to do this for more characters
Answer:
The image will be congruent to ΔMNP.
Line EG will be perpendicular to the line segments connecting the corresponding vertices.
The line segments connecting corresponding vertices will all be parallel to each other.
Step-by-step explanation:
The reflected image will be the mirror image of ΔMNP, so it will be congruent. The lines connecting each vertex to the corresponding vertex will be parallel, and all three lines are perpendicular to EG.
To solve this problem you must apply the proccedure shown below:
1- You have the following information given in the problem above:
- <span>The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width.
- The length is 25 meters and the diagonal is 45 meters.
2- Therefore, you have:
x: diagonal of the rectangle.
x^2=l^2+w^2
3- You have:
w^2+l^2-x^2=0
w^2+(25)^2-(45)^2=0
w^2-1400=0
w=37.41
The answer is: </span>w^2-1400=0
Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
The drawing is missing, so i have attached it.
Answer:
24 yards
Step-by-step explanation:
From the image, we can see that AB and DE are both adjacent sides of their respective triangles.
While, CE and BC are both opposite sides of their respective triangles
Now, from your side, x is the distance to the island.
So, from ratio of similar triangles, we can find x.
Thus;
8/x = 3/9
Cross multiply to get;
8 × 9 = 3x
3x = 72
x = 72/3
x = 24
Thus, distance from your side to the island is 24 yards