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>
Answer:
Step-by-step explanation:
Step by step explanation: 3.2 miles was half of the remaining 25%, which is 6.4 miles. You were 50% of the way back when you realized you didn't need the book.
<h3>
Answers:</h3>
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
====================================
Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
----------------
Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6