Answer:
8
Step-by-step explanation:
Perimeter is 284 means the sum of the side measurements is 284.
That is, we have to solve:
Combine like terms:
Simplify:
Subtract 12 on both sides:
Simplify:
Divide both sides by 34:
Simplify:
The square root of 35 lies between 5 and 6
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable :)
Given:
students going to the game = 56
students in each van = 7
number of vans used = unknown; x
The number sentence that can be used to find out how many vans are needed to take the students to the game is:
7 * x = 56
x = 56/7
x = 8 vans needed.
