Let
x---------> the length of the first piece
y---------> the length of the second piece
z---------> the length of the third piece
we know that
x+y+z=72 -------> equation 1
y=x+6 -----> solve for x
x=y-6 -------> equation 2
z=6+y -------> equation 3
substitute equation 2 and equation 3 in equation 1
[y-6]+y+[6+y]=72
3y=72
y=(72/3)=24 in
<u>Find the value of x</u>
x=y-6 -------> equation 2
x=24-6=18 in
<u>Find the value of z</u>
z=6+y -------> equation 3
z=6+24=30 in
therefore
<u>the answer is</u>
the length of the first piece is 18 in
the length of the second piece 24 in
the length of the third piece is 30 in
Answer:
x>7
Step-by-step explanation:
Answer:
4.1 cm
Step-by-step explanation:
The segment marked x bisects the chord, so the triangle shown has legs x and 7.8, and hypotenuse 8.8.
The Pythagorean theorem can be used to find x:
8.8² = x² +7.8²
x² = 8.8² -7.8² = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1 . . . cm
Answer:
the length of the hypotenuse must be 10.
Step-by-step explanation:
This is a right triangle, so we can apply the Pythagorean Theorem.
6² + 8² = 10² so the length of the hypotenuse must be 10.
