i don't understand how to do this prblem what is ab=x +7,bc=17,ac =2x
Do you see how ab+bc=ac? Then x+7+17=2x. Can you go from here?
I never heard of a subject called John Marshall, other than the Supreme Court justice with that name.
You have written three equations with four unknowns. There is no way to solve for all of them. You can write equations for x in terms of a, b and c. One of them would be
x = ac/2
i meant geometry but im still stuck and i have 3 more questions about this
Erica, did you see my post above? x+7+17=2x,x+24=2x, x=?
I found that this lesson was soaewhmt confusing. Just trying to figure out the longest side, and short sides caused me to get the wrong answers. This is because I would compare it to the previous example we did in class. But after you figure out the long side, short side, and hypotenuse, all you need to do is follow the rule to get the answer for each.
To solve this problem, you need to apply the properties of a triangle. Let's break it down step by step.
1. Start by labeling the given sides and variables in the triangle:
- AB = x + 7
- BC = 17
- AC = 2x
2. Next, recall the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side. In this case, AB + BC > AC, AB + AC > BC, and BC + AC > AB.
3. Apply the triangle inequality theorem to the sides of this triangle:
- AB + BC > AC: (x + 7) + 17 > 2x
- AB + AC > BC: (x + 7) + 2x > 17
- BC + AC > AB: 17 + 2x > (x + 7)
4. Simplify the inequalities:
- x + 24 > 2x
- 3x + 7 > 17
- x + 17 > 7
5. Solve each inequality:
- x > 24 (subtracting x from both sides)
- 3x > 10 (subtracting 7 from both sides)
- x > -10 (subtracting 17 from both sides)
6. Combine the solutions:
- The solution to x > 24 holds for all three inequalities, so the value of x must be greater than 24 to satisfy all given conditions.
Therefore, x cannot be less than or equal to 24. Keep in mind that this solution assumes the triangle is not degenerate (a straight line) or any other special conditions that might affect the problem.