The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
7 1/12 - 2 3/4
First we have to change mixed numbers to improper fractions
7 1/12 = 7 x 12 + 1 = 85 85/12
2 3/4 = 2 x 4 + 3 = 11 11/4
85/12 - 11/4
Now we need to find the LCD (least common denominator) for 4 and 12
4, 8, 12
12
12 is our LCD, so it becomes our new denominator
85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.
11/4 = 33/12
4 goes into 12, 3 times. What you do to the bottom, you do to the top.
3 x 11 = 33
3 x 4 = 12
So, our new fraction is 33/12. Now we subtract
85/12 - 33/12 = 52/12
Now we convert back to a mixed number
52 ÷ 12 = 4 4/12 reduce
4 1/3
Hope this helps.
Answer:
I believe its 42
Step-by-step explanation:
Assume Josh made X cupcakes; Alice made Y cupcakes; Tom made Z cupcakes.
Josh made 10 more cakes than Alice so,
X = Y + 10 ---- 1st Eqn.
Alice made 8 more than Tom so,
Y= Z+8 --- 2nd Eqn.
Total cakes = 62 so,
X+Y+Z = 62 ---- 3rd Eqn.
by solving three equations we get X= 30; Y= 20; Z=12.
So Tom made 12 cupcakes
This is a proof that the angles in a triangle equal 180°:
The top
line (that touches the top of the triangle) is
running parallel
to the base of the triangle.
So:
<span>
<span>angles A are the
same </span>
<span>angles B are the same </span>
</span>
And you can easily
see that A + C + B does a complete
rotation from one side of the straight line to the other, or <span>180°</span>
