9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
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b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
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c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
Answer:
Step-by-step explanation:
W=180-144
W=36 degrees
The sum of angles in a triangle always sum to 180 degrees.
6x+1+7x+36=180
13x+37=180
13x=143
x=11
U=6x+1
U=6(11)+1=67 degrees
V=7x
V=7(11)=77 degrees so
x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.
Answer:
-5 and -6
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
let the number be x
expressing the question mathematically,
x / (-3) = 12 (multiply both sides by -3
x = 12 (-3)
x = -36
100 times it fits 100 times
