MATHEMATICS MIDDLE SCHOOL

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LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x + 19 and MP = 8x - 8
x=0

Answers

Answer 1

Answer:

Question:

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 3x + 1 and MP = 8x – 4

Answer:

Value of x = 9, Length of LN = 64, Length of MP = 64

Solution:

Given LMNP is a rectangle. LN and MP are diagonals.

LN = 5x + 19 and MP = 8x – 8

Diagonals of a rectangle are equal in length.

⇒ LN = MP

⇒ 5x + 19 = 8x – 8

Combine like terms together.

⇒ 19 + 8 = 8x – 5x

⇒ 27 = 3x

Divide by 3 on both sides of the expression, we get

⇒ x = 9

The value of x is 9.

To find the length of the diagonals.

LN = 5(9) + 19

= 45 + 19

LN = 64

MP = 8(9) – 8

= 72 – 8

MP = 64

Length of LN = 64 and the length of MP = 64.

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Lily has 3 dog toys that are red one fourth of all her dog toys are red how many dog toys lily have
(08.01 MC)A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which offollowing statements true about the sample?It is not a valid sample because it is only a short study,It is a valid sample because money is offered to participants.It is a valid sample because the first 10 people were selected to participate.It is not a valid sample because it is not a random sample of the population

mary decreased her time in the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?

Answers

(24/30)*100 = 80%

Therefore she decreased from 100% to 80%, which is about 20% decrease.
Thus, the answer is 20%

Another way to do this is.

$((Original value - current value))/(Original value) * 100% = percentage of change in value$

Which in this case is
$(30-24)/(30) * 100% = 20%$

Which of the following equations represents a proportional relationshipWhich of the following equations represents a proportional relationship?

A. y = 3x + 4

B. y = -7x

C. x = 7y

D. x = y + 7

Answers

Answer:

Step-by-step explanation:

CHECK MY ANSWER AND HELP WITH SOME QUESTIONS I BEG YOU! :( 15 POINTS

Answers

Soo all of them are correct , number 2 could be reasonable . The rest , im waiting on you to do so I can check them .. if you want me too.
dose this help?

All of them are correct!
I hope this helps, I'm debating on #2.

tanner collected 360 cans and bottles, this was 40% of what Reggie collected, how many cans and bottles did Reggie collect

Answers

360x.6+360=576
I got .6 because 40% would be .4 and 40+60=100
So Riggie collected 576 cans and bottles

Tanner = 40% * Reggie;

Reggie = Tanner : 40%;

Reggie = 360 : 40/100 = 360 * 100/40 = 900 bottles

Help please?On monday, 354 students went on a trip to the zoo. All 7 buses were filled and 4 students had to travel in cars. How many students were in each bus?

Answers

50 students,

If you subtract the four students that traveled in cars, you will have 350. Next, divide 350 by 7 and you will come to the answer which is 50.

24 is 16% of what number

Answers

is/of = %/100 plug the numbers in 24/x = 16/100 then cross multiply then you get 2400 = 16x so you get x by itself so you would have to divide by 16. 2400/16 = 16x/16 the 16 on the x side cancel out so you get x = 150 (I used proportions)

It is found that 24 is 16% of number 3.84.

To determine what number 24 is 16% of, we can use the formula:

Consider a proportion as;

(number) = (16%)*(24) / 100

To Convert 16% to decimal form by dividing it by 100:

16/100 = 0.16

Then Multiply the decimal form of 16% by 24:

0.16 * 24 = 3.84

Therefore, 24 is 16% of 3.84.

More can be learned about proportions at;

brainly.com/question/24372153

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