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Karolina [17]
2 years ago
6

lian has three lines on the board. lines m and n are parallel. lian says that the measure of <2 is 2/3 of the measure <1.

What is the measure of <2?​
Mathematics
1 answer:
Artyom0805 [142]2 years ago
7 0

Answer:

Its 3

Step-by-step explanation:

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There is a mid ocean ridge between South America and Africa causing the two continents to drift away from each other. South Amer
Oksanka [162]

Answer:

2.5 cm/year

Step-by-step explanation:

Just divide the total distance, 250 cm, by the years, 100, 250/100 = 2.5, the rate of the contintents drifting away is 2.5 cm per year, 2.5 cm/year

5 0
3 years ago
An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti
Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

8 0
3 years ago
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
pshichka [43]

Answer:

90

Step-by-step explanation:

an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees

4 0
3 years ago
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.
Taya2010 [7]

QuestionAnswerA factory uses 1/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?3A water bottle holds 5/6 of a gallon of water. There are 5 5/6 gallons of water in a water tank. How many water bottles can be filled with the water in the tank?7Molly ran 2 laps around the track. If the total distance Molly ran was 3 3/4 miles, how long is each lap around the track?Every day, the Knox Pet Store uses 2 5/6 bags of dog food to feed the dogs. For how many days will 5 2/3 bags of dog food last?Sam grew tomatoes this summer and used them to make 1/2 of a gallon of tomato sauce. He split it into 5 equal portions to freeze for using later. How many gallons was each portion?1/10Kimberly made 2 1/2 quarts of hot chocolate. Each mug holds 1/2 of a quart. How many mugs will Kimberly be able to fill?5Rosa made fancy orange costume decorations for each of the 5 dancers in her year-end dance performance. She cut 5/6 of a yard of ribbon into equal pieces to make the decorations. How long was each piece of ribbon?1/6A factory uses 1/2 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make yesterday?3

4 0
3 years ago
The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th
mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = \frac{Amount\ of\ discount}{Original\ price}*100

Discount percent = \frac{6.60}{32.99}*100 = 0.20*100

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = \frac{8}{100}*26.39 = 0.08*26.39

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0
3 years ago
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