For this case, the first thing you should know is that there are two possible cases:
Case 1:
If 0 <k <1 then there is a reduction of the orignal figure.
Case 2:
If k> 1 then there is an expansion of the originial figure.
Therefore, in this case, the scale factor that represents a reduction is given by:
k = 3/4 = 0.75 (0 <k <1)
Answer:
the dilation that would represent a reduction is:
C. k = 3/4
Answer:
24%
i think
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. <em>You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the </em><em>base angles theorem converse</em><em>.)</em>
2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)
3. 9x=6x+6 (Add 3 to each side)
4. 3x=6 (Subtract 6x from each side)
5. x=2 (Divide each side by 3)
let me know if i did anything wrong, hope this helps!!
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
100/2 = 50 pies per hour
350/50 = 7 hours