What is 0.78 reapeating as a simplified fraction
1 answer:
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we know that
m∠PTS=m∠RTQ -----> by vertical angles
Step 1
m∠RTQ+m∠QTS= -------> by supplementary angles
solve for m∠QTS
m∠QTS=-m∠RTQ -------> equation
Step 2
m∠PTS+m∠QTS= -------> by supplementary angles
solve for m∠QTS
m∠QTS=-m∠PTS -------> equation
Step 3
equate equation and equation
-m∠RTQ=
-m∠PTS
-m∠RTQ=-m∠PTS
so
m∠RTQ=m∠PTS
therefore
<u>the answer is the option A</u>
Sum of the measures of angles RTQ and QTS is 180°
Lesson 2.7:
1) / divide 195 by 18 to get 10.833.
/ to get the whole number, round up to get '11'.
11 cartons
Lesson 2.8:
3)
÷ 
= 7
5) 6,681 ÷ 53 = 126 with a remainder of 3
Lesson 2.9:
1) / let 'x' equal the inches of snow that reidville gets
/ '12x' equal the inches of snow that greenboro gets
/ you should set up the problem like:
/ add 'x + 12x' to get '13x'.
/ divide both sides by '13'.
/ 5 goes into 13 to get 65. simplify the fraction to '5'.
/ x = 5
Reidville gets 5 inches of snow
2) / let 'x' equal the miles ansley ran in one month
/ you should set up the problem like:
/ add '15x + x' to get '16x'
/ divide both sides by '16'
/ 12 goes into 16 to get 192. simplify the fraction to 12.
/ x = 12
Ansley runs 180 miles (Zack only runs 12)
1) / divide 195 by 18 to get 10.833.
/ to get the whole number, round up to get '11'.
11 cartons
Lesson 2.8:
3)
5) 6,681 ÷ 53 = 126 with a remainder of 3
Lesson 2.9:
1) / let 'x' equal the inches of snow that reidville gets
/ '12x' equal the inches of snow that greenboro gets
/ you should set up the problem like:
/ add 'x + 12x' to get '13x'.
/ divide both sides by '13'.
/ 5 goes into 13 to get 65. simplify the fraction to '5'.
/ x = 5
Reidville gets 5 inches of snow
2) / let 'x' equal the miles ansley ran in one month
/ you should set up the problem like:
/ add '15x + x' to get '16x'
/ divide both sides by '16'
/ 12 goes into 16 to get 192. simplify the fraction to 12.
/ x = 12
Ansley runs 180 miles (Zack only runs 12)