We know that all three angles in a triangle must add to 180 degrees so we can use this fact to find the measure of the missing angles.
180-57-101= 22 degrees
180-72-72=36 degrees
180-x-20=160-x degrees
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:
6 hours. ( I DID IT USING PROPORTIONS!)
Step-by-step explanation:
houses/hours
130/2.5= 312/x
(cross multiply)
130x = 780
130x/130 = 780/ 130 (divide each by 130)
6 = h
