Answer:
Rotations, reflections and translations.
Step-by-step explanation:
Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.
Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Perimeter: 9+9+8+8= 34 ft.
Area: 9*8= 72 ft²
Answer:
337.5 and also 202.5
Step-by-step explanation:
do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.
Answer:
x=-1 y=2
Step-by-step explanation:
Use Elimination or Substitution (Elimination shown below)
6x+5y=4
6x-7y =-20 <- Multiply by -1
-6x+7y=20
12y = 24
y=2
Plug back into either of the equations and solve for x.
6x + 10= 4
6x = -6
x = -1
Double check work:
-6+10 = 4
