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Cloud [144]
3 years ago
11

Line b passes through points (5, 5) and (10, 8). Line c passes through points (4, 8) and (1, 13). Are line b and line c parallel

or perpendicular?
Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

Step-by-step explanation:

In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3.  Thus, the slope of the line connecting the first two points is m = 3/5.

In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5.  Thus, the slope of the line connecting the first two points is m = -5/3

Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.

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Step-by-step explanation:

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3 0
3 years ago
Help pls area of compound figures
Mnenie [13.5K]

Answer:

687

Step-by-step explanation:

By seeing the picture below

you can divide the shape into 3 rectangles and add those three areas to find total area.

A = 23 * 11 + 22 * 14 + 7 * 18

= 253 + 308 + 126

= 687

7 0
3 years ago
How is a line of best fit drawn? Describe how you decide where to put it.
Gnoma [55]

Answer:

A line of best fit is a straight line going through a trend on a scatter plot.

Step-by-step explanation:

A well drawn line of best fit is just a line going straight through the trend of dots to approximate an exact trend from a non-exact plot, so just draw a line that stays in the middle of the dots and you should do great.

Hope this helped!

3 0
3 years ago
I NEED ANSWER TO ALL PARTS ASAP! PLEASE!
Contact [7]
Part A) First, you need to find out how much she makes each hour.40/5 = 8 & 48/6 = 8 ... This shows that she makes $8 an hour 

To find the first missing number, you will do 8 * 8 = 64 ... This shows that she makes $64 in 8 hours.

To find the second missing number, you will do 56/8 = 7 ... This shows that she makes $56 in 7 hours.

Part B) Barb makes $9 every hour. To find the amount of money she earns for 5, 6, and 8 hours of work you will need to multiply $9 by the amount of hours she worked.

9 * 5 = 45 ... This shows that she makes $45 in 5 hours.

9 * 6 = 54 ... This shows that she makes $54 in 6 hours.

9 * 8 = 72 ... This shows that she makes $72 in 8 hours.

Part C) In part B, you found out how much she makes after working at the theme park for 5 hours. ($45 in 5 hours)

Next, you'll need to find out how much she makes after mowing lawns for 5 hours.
5*8 = $40 ... This shows that she makes $40 in 8 hours

Now you need to the difference. 45 - 40 = 5 ... She makes 5 more dollars working at the theme park for 5 hours than mowing lawns for 5 hours.
6 0
3 years ago
At homecoming, 125 tickets where sold. Tickets purchased for homecoming cost $20.5 without an activity card, and $15.75 with an
ale4655 [162]

Answer:

Nearly 83 students did not had activity card.

Nearly 42 students had an activity card.

Step-by-step explanation:

Total number of tickets sold at homecoming = 125

Cost of each  ticket without activity card = $20.5

Cost of each  ticket with activity card = $15.75

Total amount earned  = $2365

Let, the number of tickets sold without activity car d  = k

So, the number of tickets sold without card = (Total sold - k)

                                                                          = 125 - k

Now, according to the question:

$20.5(k) + $15.75(125 - k)  =  $2365

or, 20.5 k + 1968.5 - 15.75 k = 2365

⇒ 4.75 k = 2365 - 1968.5 = 396.5

⇒ k = \frac{396.5}{4.75 }  = 83.47

Hence, nearly 83 students did not had activity card.

So,the number of students that had activity card = 125 - 83.47 = 41.53 ~  42

Hence, nearly 42 students had an activity card.

4 0
3 years ago
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