Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle 
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.





Divide both sides by 6.


Therefore, the required inequality is
and the solution is
.
Answer:
21 inches.
Step-by-step explanation:
From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.
Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.
Thus, 10^2 = (16/2)^2 + (b1)^2.
b1 = √ (100 - 64) = √ 36 = 6.
Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.
17^2 = (16/2)^2 + (b2)^2.
b2 = √ (289 - 64) = √ 225 = 15.
Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;
6 + 15 = 21.
Thus, length of the kite’s other diagonal = 21 inches.
Divide the numerator (2) by the denominator (3) to convert it to a decimal