Answer:
x = -9
Step-by-step explanation:
Given:
BC = x + 19
ST = x + 29
Required:
Value of x
Solution:
Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side
Thus:
BC = ½(ST)
Substitute
x + 19 = ½(x + 29)
Multiply both sides by 2
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
Answer:
A. Zero
Step-by-step explanation:
This would have no solution because when you try to solve the equation and simplify, the 4x's cancel out, leaving no variable and making the equation reduce to: -8=9 which is false, and therefore, this has no solution.
I hope this helps!
Pythagorean theorem states that:
c^2=a^2+b^2
where:
c=hypotenuse
a and b are the legs
this implies that, a and b are shorter than c; thus to find the Pythagorean theorem we look for values that satisfy the above equation, where c is the longest side.
17^2=15^2+9^2
thus (17,15,9) are Pythagorean triple.
13^2=5^2+12^2
Thus (5,12,13) are Pythagorean triple
12^2≠6^2+8^2
Thus they are not Pythagorean triple
6^2=5^2+3^2
Thus (3,5,6) are not Pythagorean theorem.
