Joe used a coupon that allowed him to stay five nights at the pleasant dreams hotel for a total of $410. If he had not used the coupon, his room would have cost $10 more each night. How much would Joe have paid for each night without the coupon

$92

Step-by-step explanation:

First, you need to divide the expense between the 5 nights. So 410/5=82. This is still with the coupon though. You need to add 10. When you do, you get $92/night. So, for five nights without the coupon, he would have spent $460 for the entire trip. Hope this Helps!

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this