Answer:
x = xi + delta x
-2+1 = -1
y = yi + delta y
-5+3 = -2
(-1,-2)
Step-by-step explanation:
Congruence Properties
In earlier mathematics courses, you have learned concepts like the commutative or associative properties. These concepts help you solve many types of mathematics problems. There are a few properties relating to congruence that will help you solve geometry problems as well. These are especially useful in two-column proofs, which you will learn later in this lesson!
The Reflexive Property of Congruence
The reflexive property of congruence states that any shape is congruent to itself. This may seem obvious, but in a geometric proof, you need to identify every possibility to help you solve a problem. If two triangles share a line segment, you can prove congruence by the reflexive property.
First, we need to find the area of the two rectangles in this picture. We know that area = l*w.
So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:

So the larger rectangle area is 6000 m.
The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.
Let's find the area of the smaller rectangle:

So we know that the area of the smaller rectangle is 5,376 m.
The area of the jogging path is going to be the difference between these two rectangles. Let us solve:

So now we know that
the area of the jogging path is 
.
Answer: 0.9746
Step-by-step explanation:
Given : A normally distributed population has a mean of 250 pounds and a standard deviation of 10 pounds.
i.e.

Sample size : n= 20
Let
sample mean values.
Then, the probability that this sample will have a mean value between 245 and 255 be

Hence , the probability that this sample will have a mean value between 245 and 255 is 0.9746 .
Answer:
I think 2 degrees
Step-by-step explanation: