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
Answer:
Vertical Angles
x = 21
Step-by-step explanation:
Vertical Angles
4x + 3 = 87
4x = 84
x = 21
5=3(-2) +b
5=(-6)+b
+6 +6
11=b
You can repeat 8 till you get to 48 and count how many 8's you needed to get there.
This is one of the many strategys but there are better ones.
