The larger nail is a dilation of the smaller nail. Select all statements that are true.
A. The scale factor of the dilation is 3/4.

B. The scale factor of the dilation is 4/3.

C. Point A is the center of dilation.

D. △AEB ~ △ADC

E. 4(AB)=3(AC)

F. AEED=EBDC

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

Acable company claims that the average household pays $78 a month for a basic cable plan, but it could differ by as much as $20. write an absolute value inequality to determine the range of basic cable plan costs with this cable company. a. |x − 78| ≥ 20 b. |x − 20| ≥ 78 c. |x − 20| ≤ 78 d. |x − 78| ≤ 20