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zloy xaker [14]
2 years ago
11

Which value of x would make LK ∥ OM? x = 2 x = 2.4 x = 4.8 x = 8

Mathematics
1 answer:
goldenfox [79]2 years ago
6 0

Answer:

x=8

Step-by-step explanation:

The figure is shown in the attached figure.

We have, LK║OM. We need to find the value of x.

It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.

Using it in given problem. So,

\dfrac{\text{NK}}{\text{KM}}=\dfrac{\text{NL}}{\text{LO}}

Nk = x+2, KM = x-3, NL = x and LO = x-4

So,

\dfrac{x+2}{x-3}=\dfrac{x}{x-4}

Cross multiplying, we get :

(x+2)(x-4)=x(x-3)\\\\x^2-4x+2x-8=x^2-3x\\\\-2x+3x=8\\\\x=8

So, the value of x is 8.

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6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
6 0
2 years ago
There are 9.5 ounces of juice in a container. An additional 1.75 ounces of juice are poured into the container each second. How
VLD [36.1K]
There would be 20 ounces of juice in a container in 6 seconds.
Hope This Helps!
7 0
2 years ago
Read 2 more answers
Danica is in the observation area of the sears tower in chicago overlooking lake michigan. She sights two sailboats going due ea
inessss [21]

Answer:

The boats are far apart by 4506.1 feet

Step-by-step explanation:

from the graph attached

i) BC = 1353 \times tan(71\textdegree) = 2761.82 feet

ii) BD  = 1353 \times tan(58\textdegree) =  1744.28 feet

iii) the boats are far apart by = CD = CB + BD = 2761.82 + 1744.28 = 4506.1 feet

3 0
2 years ago
2.5 kg of cabbages cost £1.20<br><br> Work out the cost of 3.75 kg
s2008m [1.1K]
Thank you for your question!

In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:

1.20/2.5
0.48

Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.

0.48 * 3.75
1.80

So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!


8 0
2 years ago
Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60
leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

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Now the g will cancel out when you add both equations

-18b=-105

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Now plug in 105/18 into any of the original equations and solve for g

4 0
2 years ago
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