Answer:
AB= AC times AE/AD
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
In this problem
AB/AC=AE/AD
solve for AB
AB=(AC)(AE)/AD
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:

We found the slope:

So, the equation is of the form:

We substitute a point to find "b":

Finally, the equation is:

Answer:
Option C
Answer:
AB = 6.53
Step-by-step explanation:
cos theta = adjacent/ hypotenuse
cos 40 = 5/ AB
AB cos 40 = 5
AB = 5/ cos 40
AB = 6.527036447
Round to the nearest hundredth
AB = 6.53
Answer:
Step-by-step explanation:

b = 2/3


a = 7/3
b)

Cross multiply,
2b + 1 = a*(3b - 1)
2b + 1 = a*3b - 3*a
2b + 1 = 3ab- 3a
2b = 3ab - 3a - 1
2b - 3ab = -3a - 1
b(2 - 3a) = -3a - 1

Note that rotation will not affect the shape and size of an object.
Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.
Hence, the statements
The corresponding angle measurements in each triangle between the pre-image and the image are preserved and
The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved
are true.