Step-by-step explanation:
a.) the given term can be written as
=
=
=
hence the given term is
where b = 3
b.)
=
=
=
=
hence the given term is 12
Intercept at, y=0 and at x=0
-3(0)+5(y)=60
y=12 , z= 30, (y intercept) or (0,12,30)
-3(x)+5(0)=60
x=-20,z=30, (x intercept) or (-20, 0, 60)
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Summing the 3 angles and equating to 180 gives
2x + 3 + 4x + 2 + 2x - 1 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
∠A = 2x + 3 = (2 × 22) + 3 = 44 + 3 = 47°
∠B = 4x + 2 = (4 × 22) + 2 = 88 + 2 = 90°
∠C = 2x - 1 = (2 × 22) - 1 = 44 - 1 = 43°
The first answer, using a number line, is a good answer.
I have two other ways:
Way #1:
5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.
We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.
There's no reason that should change if the 'things' are eighths.
Way #2:
-- Get 2 friends to help you.
-- Take one good-size veggie pizza or coconut cream pie.
-- Carefully cut it up in eight (8) equal pieces.
Now each piece is 1/8 of the pie or the pizza.
-- Give 5 pieces (5/8) to the first friend.
Give 3 pieces (3/8) to the other friend.
-- Ask them to get together and agree on who has more.
The angle sum property of a triangle is the sum of the interior angles of the given triangle.
The total sum of the interior angels of a triangle =180
