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tatiyna
2 years ago
15

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle

has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction
Mathematics
2 answers:
drek231 [11]2 years ago
4 0

Answer:

  \dfrac{y}{x}=\dfrac{1}{4}

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

emmainna [20.7K]2 years ago
3 0

Answer:

Th answer is C

Step-by-step explanation:

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Write an expression that evaluates to true if the int associated with number_of_prizes is divisible (with no remainder) by the i
hodyreva [135]

We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.

Let us assume number of Prizes are = p and

Number of participants = n.

If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.

Let us assume that quotent is taken by q.

So, we can setup an expression now.

Let us rephrase the statement .

" Number of Prizes ÷ Number of participants  = quotient".

p ÷ n = q.

In fraction form we can write

p/n =q   ; n ≠ 0.


4 0
2 years ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
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For ∆BCD
As above
BC = 2
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6 0
2 years ago
Read 2 more answers
If Machine A makes a yo-yo every five minutes and Machine B takes ten minutes. How many hours would it take them to make 20yo−yo
olga nikolaevna [1]

Answer:

Time in minutes = 66 2/3

Time in hours = 1.11

Step-by-step explanation:

Problem:

Time taken by both machine to make 20  yo-yo

let the time taken be x minutes

Given

Time taken by machine A  to make 1 yo-yo = 5 mins

No. of yo-yo made by machine A in x minutes = x/5

Time taken by machine B  to make 1 yo-yo = 10 mins

No. of yo-yo made by machine B in x minutes = x/10

Total no. of yo-yo made by both the machine = x/5 + x/10 = (2*x+x)/10

Total no. of yo-yo made by both the machine = 3x/10

But given that together they made 20 yo -yo

Thus,

3x/10 = 20

=> x = 20*10/3 = 200/3

Thus, it took 66 2/3 minutes to make 20 yo-yo by both of them

In one hour there is 60 minutes

Time taken in Hours will be = 200/3*60 = 200/180 = 10/9 = 1 1/9= 1.11 hours

4 0
2 years ago
Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a wee
insens350 [35]

Answer:

Wendy jogs 13.75 mile in all each week

Step-by-step explanation:

To determine how many miles Wendy jogs in all each week,

we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.

The distance she jugs with her running club = 5.5 mile.

Now, we will determine the distance of the nature trail near her home.

From the question, the nature trail is 1.5 times as long as the route in the city.

Let the distance of the nature trail = x

and the distance of the route in the city be y

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x = 1.5 y

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x =  8.25 miles

Hence, the nature trail is 8.25 mile

Then, the number of miles Wendy jogs in all each week is

5.5 mile + 8.25 mile = 13.75 mile

Hence, Wendy jogs 13.75 mile in all each week

5 0
2 years ago
A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56
luda_lava [24]

In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

7 0
2 years ago
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