13 POINTS. PLEASE HELP. WILL GIVE BRAINLIEST ARST is an isosceles triangle with congruent sides RS and ST.
Point Mlies on RS, and point N lies on ST.
MS is parallel to RT.
The length of SN is 23 feet, and the length of NT is 10 feet.
a. What is mZT? Show or explain how you got your answer.
b. What is mZMNS? Show or explain how you got your answer.
c. Explain why AMNS is similar to ARTS.
d. What is the length of MN? Show or explain how you got your answer. Round your answer to the nearest tenth.

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

to find the perimeter, you add up all the lengths of the sides. in this case you would have to add up 18+22+40+80 which equals 160.