MATHEMATICS HIGH SCHOOL

Someone help me with this proof please ​
someone help me with this proof please ​ - 1

Answers

Answer 1
Answer:

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

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A triangle has sides with lengths of 72 miles, 85 miles, and 36 miles. Is it a right triangle?

Answers

Answer:

Your answer is: No, it is not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem to determine if a triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle:

Side A = 72 miles

Side B = 85 miles

Side C = 36 miles

To check if it's a right triangle, we can compare the lengths of the sides using the Pythagorean theorem:

1. Calculate the squares of the lengths of Side A and Side B:

- A^2 = 72^2 = 5184

- B^2 = 85^2 = 7225

2. Calculate the square of the length of Side C:

- C^2 = 36^2 = 1296

3. Check if the sum of the squares of the two shorter sides (A^2 + B^2) is equal to the square of the longest side (C^2):

- A^2 + B^2 = 5184 + 7225 = 12409

- C^2 = 1296

Since A^2 + B^2 is not equal to C^2 (12409 ≠ 1296), we can conclude that the given triangle is not a right triangle.

The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard deviation 4 inches. Which of the following represents the middle 80 percent of the heights ? A. 2.5% B. 5% C. 16% D. 1%

Answers

The interval that represent the middle 80% of the heights (inches) is [64.88, 75.12].

Step-by-step explanation:

Given :

Mean -- \rm \mu = 70 \; inches

Standard Deviation -- \rm \sigma = 4 \; inches

Calculation :

We want to know an interval in which the probability that a height falls there is 0.8.  

In such interval, the probability that a value is higher than the right end of the interval is

\rm P(x>z) = \frac {1-0.8}{2} = 0.1  

If x is the distribuition of heights, then we want y such that P(x > y) = 0.1.

Z = (x-\mu)/(\sigma)

 

Now, let

U = (y-70)/(4)  

We have

\rm 0.1 = P(x>y)= P((x-70)/(4) > (y-70)/(4))=P(Z>U)=1-\phi(U)

\phi (U) = 1-0.1=0.9      

by looking at the table, we find that U = 1.28, therefore

(y-70)/(4)=1.28

1.28* 4 + 70 = y

y=75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is

70- (75.12-70) = 64.88.  

The interval that represent the middle 80% of the heights (inches) is [64.88, 75.12].

For more information, refer the link given below

brainly.com/question/10729938?referrer=searchResults

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = (X-\mu)/(\sigma) = (X-70)/(4)

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = (z-70)/(4) . We have

0.1 = P(X > z) = P((X-70)/(4) > (z-70)/(4)) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

(z-70)/(4) = 1.28\nz = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?If x represents Harry's age now, then which of the following equations could be used to solve the problem?

Answers

i think its 7x+6=5(x+6) if  its wrong then me so sorry. its the answer i chose tho
Let x represent Harry's age now, and Nick's age now is 7x. [t] 
In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6] 

Combining [t] and [t+6], 7x + 6 = 5(x+6). 
So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .

I hope this helps!

Oil consumption is increasing at a rate of 1.8% per year. by what factor will oil consumption increase inn 6 years? Use the approximate doubling time formula (rule of 70)

Answers

(70)/(1,8) \approx 38.8 \ \ \ \ \ \rightarrow \ the \ amount \ of \ time \ to \ double \ the \ consumption \n \n 38,8 - 100\% \n 6 - x \n 38,8 x = 600\% \nx \approx 15.5\% \n \n In \ six \ years \ oil \ consumption \ will \ increase \ by \ approximately \ 15.5\%

Answertion:100 it is

What should be done to both sides of the equation in order to solve N/4 = -12.4

Answers

Mutiply each by four to get n=-49.6. Hope this helped.

Answer:

Multiply by 4.

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST TO SAMPLE RESPONSE OR BEST ANSWER!The equation that represents the canned goods order is
24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain

Answers

Answer:

8 minutes.

Step-by-step explanation:

24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

Therefore,  the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:
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