Answer: Transitive Postulate of Inequality (last option)
Explanation:
Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation 
. If all we cared about was the first and last cities, then we basically say 
taking a shortcut so to speak.
This analogy is useful to describe the transitive property.
The equality version is where if we had a = b and b = c, then a = c.
The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.
In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.
It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.
Find area of the semi circle.
The diameter is, half of that would be the radius, which is 3.
= 14.1
Find the area of the rectangle.
6 * 4 =24
Add the two areas together.
24 + 14.1 = 38.1
A country's income distribution is the <em>distribution of total GDP among the total population</em>
<em>hope it helps</em>
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and 
(Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
