Given: Circle M with inscribed Angle K J L and congruent radii JM and ML Prove: mAngle M J L = One-half (measure of arc K L) Circle M is shown. Line segment J K is a diameter. Line segment J L is a secant. A line is drawn from point L to point M. What is the missing reason in step 8? Statements Reasons 1. circle M with inscribed ∠KJL and congruent radii JM and ML 1. given 2. △JML is isosceles 2. isos. △s have two congruent sides 3. m∠MJL = m∠MLJ 3. base ∠s of isos. △are ≅ and have = measures 4. m∠MJL + m∠MLJ = 2(m∠MJL) 4. substitution property 5. m∠KML = m∠MJL + m∠MLJ 5. measure of ext. ∠ equals sum of measures of remote int. ∠s of a △ 6. m∠KML =2(m∠MJL) 6. substitution property 7. Measure of arc K L = measure of angle K M L 7. central ∠ of △ and intercepted arc have same measure 8. Measure of arc K L = 2 (measure of angle M J L) 8. ? 9. One-half (measure of arc K L) = measure of angle M J L 9. multiplication property of equality reflexive property substitution property base angles theorem second corollary to the inscribed angles theorem

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

(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

8.3 and the 3 is repeating

hope this .