Line n is a perpendicular bisector of line segment T V. It intersects line segment T V at point R. Line n also contains points Q and S. Line segment R V is 3 x + 2. Line segment Q V is 4 x + 1. Line segment T S is 9 x minus 4. The length of TR is 17 units. What are the lengths of SV and QT?

SV = units QT = units

SV = 41 units

QT = 21 units

Step-by-step explanation:

Please refer to the attached figure.

It is given that line segment TV has a perpendicular bisector as line N which intersects on line on TV at point R.

So, TR = RV

We are given that:

Comparing the values of TR and RV:

We can easily observe that due to the nature of the construction of this figure there is symmetry present.

As a result, we can draw the following conclusions:

1.

Putting value :

2.

Putting value :

Hence the values are:

SV = 41 units

QT = 21 units

78.59 is the mean

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .