Answer:
Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.
Answer:
the first answer ( I think these are 3 different questions) is y = -4x + 7
the second answer is y = -3x + 5
the third answer is y = 6x - 5, because the lines are parallel, they have the same slope and the y int is -5 from the point given.
Step-by-step explanation:
+) Polygons ABCD has: A(-7;4); B(-5;7); C(-3;4); D(-5; 1)
+) Polygons A'B'C'D' has: A'(-9;0); B'(-7;3); C'(-5;0); D'(-7;-3)
The side lengths of ABCD:
The side lengths of A'B'C'D':
So that side lengths of ABCD equal to those of A'B'C'D'.
However, this is not enough to said that they are congruent polygons, as 2 polygons are congruent when they have all corresponding sides and interior angles are congruent.
ABCD and A'B'C'D' have all corresponding sides congruent.
=> <em>So that "all corresponding interior angles are congruent" must be true for them to be congruent polygons</em>
From the question, we know that the solutions of the system
is (14,6), which means the speed of the the boat in calm water,
, is 14
, and the speed of the current,
, is 6
. To summarize:
and
We also know that w<span>hen the boat travels downstream, the current increases the speed of the boat; therefore to find the speed of the boat traveling downstream, we just need to add the speed of the boat and the speed of the current:
</span>
<span>
Similarly, to find the the speed of the boat traveling upstream, we just need to subtract the speed of the current from the speed of the boat:
</span>
<span>
We can conclude that the correct answer is </span><span>
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.</span>
Answer: Choice B and D are both correct.
Step-by-step explanation:
The expression has two adjacent negative signs in the middle. The two negative signs are to be multiplied, which then produces one positive sign.
Choice B is therefore correct because the expression becomes 6+6 which is 6 to the right of the number line where the numbers are increasing.
Choice D is also equally correct because the addition of 6 to 6 equals 12(6+6 = 12).