Given:
The inequalities are:
a) 
b) 
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,

After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of
are
.
b)
We have,

After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of
is
.
If a triangle has side lengths 5, 5, and 8, then the triangle should be classified as isosceles.
This is because an isosceles triangle has two sides of the same length and one side of a different length. This isn’t an equilateral triangle (where all sides are of equal length) or a scalene triangle (where all sides are of different lengths).
Hope this helps!
9514 1404 393
Answer:
x = 12
perimeter = 124
Step-by-step explanation:
The midline RS is half the length of MN, so we have ...
2×RS = MN
2(x +3) = 5x -30
2x +6 = 5x -30
36 = 3x . . . . . . . . . add 30-2x
12 = x . . . . . . . . . . divide by 3
__
The length RS is then ...
RS = x +3 = 15
and the perimeter of QRS is ...
P(QRS) = QR +RS +SQ = 25 +15 +22 = 62
The perimeter of QRS is half the perimeter of MNP, so ...
P(MNP) = 2×P(QRS) = 2×62 = 124
The perimeter of ΔMNP = 124.
3,857:
1. 3 is located in the thousands place
2. Since 8 is bigger than 3, it's telling it to go up a number (turning 3 into a 4)
Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc.
So 3,857 is now rounded into 4,000

Solution is : <u>2p</u> .