Answer:
504 miles
Step-by-step explanation:
Make a proportion
= 
7/12 is 0.5833, so multiply 864 by that to find the number of miles
864(0.5833) = 504
Answer:
The factors are 3 and -9
Step-by-step explanation:
The given trinomial is
.
We need to find two factors. We know that,
3(9) = 27
So,
can be written as :
as two factors add up to get -6 and multiply to get -27.
Hence, the factors are 3 and -9.
Answer:
B: II, IV, I, III
Step-by-step explanation:
We believe the proof <em>statement — reason</em> pairs need to be ordered as shown below
Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC — given
Draw Line segment BE Draw Line segment FC — by Construction
Point G is the point of intersection between Line segment BE and Line segment FC — Intersecting Lines Postulate
Draw Line segment AG — by Construction
Point D is the point of intersection between Line segment AG and Line segment BC — Intersecting Lines Postulate
Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH — by Construction
__
II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC — Midsegment Theorem
IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC — Substitution
I BGCH is a parallelogram — Properties of a Parallelogram (opposite sides are parallel)
III Line segment BD ≅ Line segment DC — Properties of a Parallelogram (diagonals bisect each other)
__
Line segment AD is a median Definition of a Median
Answer: fish
Step-by-step explanation: 2+2=fish
Answer:
The number of 1 point throw is 5, the number of 2 point throw is 8 and the number of 3 point throw is 4
Step-by-step explanation:
Let x represent the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. Each of 1 point free throw is 1 point, each of 2 point free throw is 2 points and each of the 3 point free throw is 3 points. This is represented by the equation:
x + 2y + 3z = 33 (1)
Also, The player scored 17 times, therefore it is represented by:
x + y + z = 17 (2)
The player scored 3 more 2-point field goals than 1-point free throws, it is represented by:
y = x + 3
-x + y = 3 (3)
Solving equation 1, eqn 2 and eqn 3 simultaneously:
x = 5, y = 8, z = 4.
The number of 1 point throw is 5, the number of 2 point throw is 8 and the number of 3 point throw is 4