A container is in the shape of the rectangular prism shown. Stan measures the length of PS as 12 feet, the length of SR as 9 feet, and the length of RV as 8 feet. Stan needs to calculate the distance from point P to point V

The distance from point P to point V = 17 ft.

Step-by-step explanation:

A rectangular prism is simply a cuboid,

The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)

From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.

With PR as the hypotenuse side, using Pythagoras theorem,

(PR)² = (PS)² + (PR)²

(PR)² = 12² + 9² = 144 + 81 = 225

PR = √225

PR = 15 ft.

On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,

(PV)² = (PR)² + (RV)²

(PV)² = 15² + 8² = 225 + 64 = 289

PV = √289

PV = 17 ft.

Hope this Helps!!!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

image for option 4

step-by-step explanation:

i just know the internet