Proving triangle simllarity
reasons
given: fh 1 gh; kj i gj
prove: afhg - akjg
statements
1. fhigh
1. given
2.kjigj
2. given
3. zfhg and zgjk are right
angles
4. zfhg 2 lgjk
3. def. of perpendicular
lines
5. zfgh and zkgj are vertical 5. def. of vertical angles
angles
identify the steps that complete the proof.
6.
6. vertical angles theorem
7. afhg - akjg
7
.
1) intro
done

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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answer: 0.1,0.85

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

the football players are volunteering for the test.

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