Identify the flowchart proof for the two-column proof. Given: m∠PQR=90°
and m∠b=5·m∠a

Prove: m∠a

Two-Column Proof
1. m∠PQR=90°
, m∠b=5·m∠a (Given)
2. m∠a+m∠b=m∠PQR (∠s Add. Post.)
3. m∠a+5·m∠a=90°(Subst. Prop. of = )
4. 6⋅m∠a=90° (Simplify.)
5. m∠a=15° (Div. Prop. of = )

the answer is 8/21

hope this

x = -5

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