Answer:
linear function............
Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32
To find out how big of a TV Don can mount on his wall and still have at least 24 1/2 inches left on both sides, we just need to subtract the amount of space Don wants to save from the amount that Don has total.
Also, decimals are much easier to work with in these types of problems than fractions, so we will convert the fractions to decimals.
88 3/4 = 88.75
24 1/2 = 24.5
Since Don wants to save 24.5 inches on both sides, we will need to multiply 24.5 by 2 before continuing.
24.5 * 2 = 49
Then, we just need to subtract the amount of length he wants to save by the total amount he has.
88.75 - 49 = 39.75
39.75 in fraction form would be 39 3/4
The largest TV Don can fit on his wall while saving the amount he wants to save on both sides for his speakers is 39 3/4 inches. That means he can get either Television A, B, or C.
Hope that helped =)
The triangles are not similar because the smallest sides are 6/10 = 3/5, the medium sides are 8/24 = 1/3, and the longest sides are 10/26 = 5/13 and similar triangles must have the same ratio for all three sides.
