The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.
<h3>What is the triangle inequality theorem?</h3>
The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.
On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.
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Answer:
Third side = 8.34 cm
Step-by-step explanation:
Given that,
The perimeter of a triangle, P = 22 cm
One side of a triangle, b = 9 cm
The area of the triangle, A = 20.976 cm²
The formula for the area of a triangle is given by :

Perimeter = Sum of all sides
9 cm + 4.66 cm + x = 22
x = 22 - 13.66
x = 8.34 cm
So, the third side of the triangle is 8.34 cm.
The area of the trapezoid is x+11 cm.
Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.
A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.
Now we will use the formula to find the area of a trapezoid
Area = 1/2 × (base 1 + base 2) × height
Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm
Substituting the values into the formula, we get
Area = 1/2 × (x+6+5) × 2
Area = 1/2 × (x+11) × 2
Area = x+11
Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.
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A monomial is an algebraic expression consisting of a single term.
Answer:
9. a. m = tw all over n
9 b. w = mn all over t
10. a. w = 1 over (t-mn)
10. b. m= (t-1/w) all over n
hope this helps sorry still new to this so know how to use fractions easily