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Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Answer:
45 square feet
Step-by-step explanation:
we know that
The volume of the pedestal (rectangular prism) is given by the formula

where
B is the area of the rectangular base of pedestal
we have

substitute the given values in the formula and solve for B


Answer:
The area of the trapezoid is 40 square inches
Step-by-step explanation:
Here, we want to find the area of the given trapezoid
Mathematically, we apply the formula for the area
In this case, a will be 10, b will be 6 and h will be 5
Substituting these values, we have that ;
A = 1/2(10 + 6)5
A = 1/2(16)(5)
A = 40 square inches