In AABC, LA = 58° and m2 B = 45°. Select the triangle that is similar to AABC.
A. APQR, in which m P= 58° and
mZR= 70°
B. AMNP, in which m2 M = 58° and
mZN = 103°
C. AXYZ, in which mZX = 45° and
m2 Y = 103
D. AHIJ, in which mZH= 58° and
m2 J = 77°

-2 is the right

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9