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svlad2 [7]
2 years ago
12

Two parallel lines are crossed by a transversal

Mathematics
1 answer:
Olegator [25]2 years ago
8 0
B. H=60
180degrees-120degrees=60degrees
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What is the interquartile range of this data 0 5 10 15 20​
timama [110]
The interquartile range (IQR) is 15.

To find the IQR, you must:
1) Find the median
2) Split the data set in two at the median.
3) Find the medians from both the groups you made in Step 2
4) Label the smaller one Quartile 1 and the larger one Quartile 3 (Hint: The median is Quartile 2)
5) Subtract: Quartile 3 - Quartile 1
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x-3y%3D-8%7D%20%5Catop%20%7Bxy%3D12%7D%7D%20%5Cright." id="TexFormul
nignag [31]

Answer:

\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\

<=> 5x = 3y - 8

     3y + 10 = 0 or y - 6 = 0

<=> 5x = 3y - 8

     y = -10/3 or y = 6

+) with y = -10/3 => 5x = -10 - 8 <=> 5x  = -18 <=> x = -3.6

+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6

Step-by-step explanation:

5 0
2 years ago
Williams uses his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 1/3 h
laiz [17]

Answer: the boat can travel 20 mph in still water.

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Distance = speed × time

Williams uses his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 1/3 hour. The total speed would be (x - y) mph. The distance covered upstream is

5 = 1/3(x - y)

Cross multiplying by 3, it becomes

15 = x - y - - - - - - - - - - - -1

With the current the trip takes 1/5 hour. The total speed would be

(x + y) mph. The distance covered downstream is

5 = 1/5(x + y)

Cross multiplying by 5, it becomes

25 = x + y - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

40 = 2x

x = 20/2 = 20

Substituting x = 20 into equation 1, it becomes

15 = 20 - y

y = 20 - 15

y = 5

3 0
3 years ago
Which description out be written as a linear function?
dusya [7]

Answer:

If x is o

Step-by-step explanation:

1

Q

8 0
3 years ago
There are 12 students in a social studies class. three students will be selected to present their term projects today. in how ma
ziro4ka [17]
<em />As, If the order is important then we use permutation;

total no. of students= 12
selected students= 3

12P3= 12!/(12-3)!=1320

6 0
3 years ago
Read 2 more answers
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