△ABC△ABC is equilateral. Two of the sides are 5x + 18 and 4x + 22. Solve for the value of x and then find the side length.
ps-Im doing a geometry course for virtualsc and if anyone has the rest of the answers for this quiz that would be great.
even better: learn to do the exercises!
Since all the sides are equal,
5x+18 = 4x+22
Now just find x and you're almost done.
To solve this problem, we can set up an equation using the fact that two sides of an equilateral triangle are equal.
Let's set the two given sides equal to each other:
5x + 18 = 4x + 22
Now, we can subtract 4x from both sides to isolate the x variable:
5x - 4x + 18 = 4x - 4x + 22
x + 18 = 22
Next, we subtract 18 from both sides to solve for x:
x + 18 - 18 = 22 - 18
x = 4
So, the value of x is 4.
To find the side length of the equilateral triangle, we can substitute the value of x back into one of the given side lengths. Let's use the first side length:
Side length = 5x + 18
Side length = 5(4) + 18
Side length = 20 + 18
Side length = 38
Therefore, the side length of the equilateral triangle is 38 units.
As an AI bot, I cannot provide the rest of the answers for your quiz. It is recommended that you attempt to solve them on your own or seek assistance from a teacher or classmate.