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3 years ago

PLEASE ANSWER FAST THIS IS VERY IMPORTANT!!!!! I NEED TO KNOW HOW TO SOLVE #7 PLEASE PLEASE HELP

Mathematics

2 answers:

gavmur [86]3 years ago

7 0

It might me x=7 check my answer have not did geometry recently

Pani-rosa [81]3 years ago

6 0

If the pencil markings are correct, LM=NP.
This means that both lines should be the same length (you've marked them as congruent). Therefore, you can set the two equations equal to one another.
3x=5x-14
You should get a solution of x=7. If you have trouble with that, comment. I was lazy and did it with my graphing calculator, but I can show you how to do it algebraically.

From the drawing, assuming your congruency markings are correct, K is the midpoint of LM. Therefore, LK will be half the length of LM.
As LM looks like it equals 3x, LK would be 3x/2. In the above step, I found that x=7. Plug x unto the equation 3x/2 to get 21/2, which is your final answer.

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The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value

Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

$x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0$

It is a quadratic equation. The values of x are :

$20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}$

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2 years ago

A group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds per day. Write a

Lisa [10]

Since they are starting with 270, the y intercept is going to be 270, now since they are losing 15 food everyday, the slope is going to be -15 so the final equation is y=-15x+270

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3 years ago

In the data set below, what is the interquartile range? 7 1 5 5 9 Submit

Marizza181 [45]

Answer:

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

First find the median.

The median is the middle value of the data set arranged in ascending order

1 5 5 7 9 ← data in ascending order

↑ median

The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.

1 5

↑ lower quartile = $\frac{1+5}{2}$ = 3

The upper quartile is the middle value of the data to the right of the median.

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↑ upper quartile = $\frac{7+9}{2}$ = 8

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2 years ago

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ser-zykov [4K]

Answer:

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Step-by-step explanation:

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2 years ago

At a baseball game, the ratio of Barons fans to Blue Sox fans is 8 : 3. If you know that at least 22,000 people are attending th

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2 years ago