Prove the divisibility of the following problems: (This is for RSM) 5^31-5^29 is divisible by 100

12^13-12^12-12^11 is divisible by 7 and 19

11^9-11^8+11^7 is divisible by 3 and 37

Will mark brainliest!

In djkl, side jk measures 10.6 inches, side kl measures 7 inches, and side jl measures 5 inches. based on the information that is provided, which could be a correct set of angle measures for these sides? angle j = 23.2°, angle k = 33.5°, angle l = 23.2° angle j = 23.2°, angle k = 33.5°, angle l = 123.2° angle j = 123.2°, angle k = 23.2°, angle l = 33.5° angle j = 33.5°, angle k = 23.2°, angle l = 123.2°

Guys i need ! graded assignment grade 8 checkpoint 2, part 2 answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit. total score: of 9 points (score for question 1: of 4 points) 1. the cost of renting a car for a day is $0.50 per mile plus a $15 flat fee. (a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. (b) what does the graph of this equation form on a coordinate plane? explain. (c) what is the slope and the y-intercept of the graph of the relationship? explain.

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?