Ain abc, ab=x, because=y, and ca=2x. a similarity transformation with a scale factor of 0.5 maps abc to mno, such that vertices m, n and o correspond to a, b,c respectively. if om=5, what is ab?

We are given: Triangle ABC sides, AB = x, BC = y and CA = 2x.

Another triangle MNO whose vertices M,N and O correspond to A,B,C respectively.

Therefore, AB corresponding to sides MN , BC corresponding to sides NO and CA corresponding to sides OM.

Also, we are given " A similarity transformation with a scale factor of 0.5 Maps ABC to MNO".

That means triangle ABC is dilated by a factor of 0.5.

Each side of the triangle MNO is 0.5 times(half) of Triangle ABC.

We could also say that each side of Triangle ABC is two times of sides of triangle MNO.

We are given side OM = 5 units.

CA = Times of OM = 2 * 5 = 10 units.

CA = 2x = 10 units or 2x=10.

Dividing both sides by 2, we get

x=5.

AB = x.

Therefore, AB = 5 units.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)