We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok
case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok
case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok
case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok
the answer is
</span><span>A. 5M, 11M, 7M</span>
Answer:
23+7-2x=8x
We simplify the equation to the form, which is simple to understand
23+7-2x=8x
We move all terms containing x to the left and all other terms to the right.
-2x-8x=-23-7
We simplify left and right side of the equation.
-10x=-30
We divide both sides of the equation by -10 to get x.
x=3
Step-by-step explanation:
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S = 
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
A) if 18 muffins = 1 box,
1020 muffins = 1020/18 boxes
= 56.67 boxes
So they used 56 full boxes.
b) if 25 cookies = 1 bag
2820 cookies = 2820/25 bags
= 112.8 bags
So they used 112 full bags.
c) the remainders from a and b represent muffins and cookies left over.
