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Nina [5.8K]
3 years ago
9

4. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or po

stulate. Angle 1 is supplementary to angle 4. 9/11 v 1/5 2/6 10/12 b A 3/7 4 8 1 O || m by Converse of the Corresponding Angles postulate Oa || b by Converse of the Corresponding Angles Postulate Ollm by Converse of the Same-Side Exterior Angles Theorem Oa || b by Converse of the Same-Side Exterior Angles Theorem​

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

Option (4)

Step-by-step explanation:

It has been given in the question that angle 1 is supplementary to angle 4.

m∠1 + m∠4 = 180°

∠2 and ∠3 are the interior consecutive angles.

Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".

Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.

Option (4) will be the answer.

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last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a
tino4ka555 [31]

Answer:

60

Step-by-step explanation:

last year 1/5 of the class played sports, so s = (1/5) c

the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)

To solve this we can substitute s = (1/5)c from the first equation into the second, so

((1/5)c + 5)=(1/4)(c+10), simplify both sides

(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2

(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)

4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides

50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60

5 0
3 years ago
During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars
olganol [36]

Answer

given,

on first stop

number of car = 20  and number of trucks = 18

on second stop

number of car = 18  and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ =\dfrac{cars}{trucks}

           r₁ =\dfrac{20}{18}

           r₁ =\dfrac{10}{9}

Rest Stop 2

ratio= r₂ =\dfrac{cars}{trucks}

           r₂ =\dfrac{18}{10}

           r₂=\dfrac{9}{5}

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0
3 years ago
A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of po
german
<span>A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Population of the country is 303 million. Specific consumption, = ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months) =1.8 pounds/(months*persons)</span>
4 0
3 years ago
A dependent system of equations is a system with __________.
andre [41]
The same line is written in two different forms
6 0
3 years ago
Is y=x+9 linear or is it not linear
avanturin [10]

Answer: It is linear. When a line is linear it just means it makes a straight line when you graph it. When it isn’t it will be curved or in some weird shape.

Step-by-step explanation:

3 0
3 years ago
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