Answer:
The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.
Step-by-step explanation:
What is figure rotation?
Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.
In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.
Answer:
B.35
Step-by-step explanation:
The sequence is
14, ,56,....
14 , x , 56
Think of it as 14 + d = x
x+ d = 56
d is the common difference
We now have 2 equations and 2 unknowns
Substitute the first equation in for x into the second equation
x+d =56
(14+d) +d = 56
Combine like terms
14 + 2d = 56
Subtract 14 from each side
14-14 + 2d = 56-14
2d = 42
Divide by 2
2d/2 =42/2
d = 21
The common difference is 21
Now we can find x
14 + d = x
14+ 21 = x
35 =x
The unknown term is 35
1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Hi, hope this helps :)
Feel free to ask me if you do not understand. I used the elimination method.
The measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees