Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.

Triangle A C B is sitting on horizontal line X Y. Points A and B of the triangle are on the line. Angle C B Y is 90 degrees.

Answers

Answer 1

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

Answer 2

The hypotenuse is the longest side of the triangle. Side AC of the triangle is its hypotenuse, thus greater than BC (segment and angle theorem of a triangle).

A triangle is a shape with three side and angles. Its longest side is referred to as hypotenuse. And this side is usually opposite to the greatest angle. Examples of triangle include: equilateral, isosceles, acute, right angles, obtuse angle etc.

The given question shows that triangle ACB is a right angled triangle. This is because <CBY = [tex]90^{o}[/tex].

So that;

<CBY + <CBA = [tex]180^{o}[/tex]

Now comparing side AC with BC:

The segment and angle theorem of a triangle states that: the longest side of a triangle is always opposite to the greatest angle.

Thus, since <CBA is the greatest of the angles here, then AC is the longest side.

Therefore, the side AC is the hypotenuse of the triangle and it is greater than BC.

A sketch to this question is attached to this answer for more clarifications.

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Make A Conjecture About The Diagram Below. Is AC Greater Than, Less Than, Or Equal To BC? Explain Your

Related Questions

What is the reduced product of 2/3 x 5/8
Flocabulary

Answers

5/12 is the answer but 1/3 x 5/4 is the reduced version of your question and the alternate form of the answer is 0.416

I really need help on this!!

Answers

Answer:

D

Step-by-step explanation:

It's kind of grainy, but what I can see is that D. has a constant proportionality of up 4 over one to each point. So the slope would be 4.

It’s D (had it on a test)

Chester Boles reviewed his credit card's monthly statement. It shows a $2,376.10 previous balance and this month's new purchases of $875.22, $65.75, $45.22, and $21.23. It also shows a $875.22 credit and a $45.30 finance charge. He also made the minimum payment of 2.5% of the previous balance. What is the new balance?

Answers

The new balance after considering the new purchases, credits, finance charge, and minimum payment is $2,494.20.

Here,

To calculate Chester Boles' new credit card balance, we need to take into account the previous balance, new purchases, credits, and finance charge, as well as the minimum payment.

Add up the new purchases:

$875.22 + $65.75 + $45.22 + $21.23 = $1007.42

Add up the credits:

$875.22 (credit)

Calculate the total balance before the finance charge:

Previous Balance + New Purchases - Credits

$2,376.10 + $1007.42 - $875.22 = $2,508.30

Add the finance charge:

Total Balance + Finance Charge

$2,508.30 + $45.30 = $2,553.60

Calculate the minimum payment:

2.5% of the previous balance:

2.5% * $2,376.10 = $59.40

Subtract the minimum payment from the total balance:

$2,553.60 - $59.40 = $2,494.20

The new balance after considering the new purchases, credits, finance charge, and minimum payment is $2,494.20.

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HELP I NEED HELP ASAP

Answers

Answer:

your answer is y=-2x+3

Use the equation z = n - 7 to find the value of z when n
9.
Z =

Answers

Answer:

[tex]z=2[/tex]

Step-by-step explanation:

[tex]z=n-7[/tex]

In this case, I'm assuming that you're trying to say that n = 9.

1. Substitute in 9 for n

[tex]z = (9)-7[/tex]

2. Combine like terms

[tex]z=9-7\\z=2[/tex]

given m ll n find the value of x

Answers

Answer:

35 degrees

Step-by-step explanation:

Since m || n, you can know that the angle 145 is corresponding to the to the other angle on top. After that, you use the supplementary angle formula and x is 180-145=35 degrees

10 – 2(3x – 1) > 6x + 10


Pls solve with steps and explain

Answers

Answer:

x < 1/6

Step-by-step explanation:

In the equation 10 – 2(3x – 1) > 6x + 10, start by using the distributive property. Once you've done that, you'd now get 10-6x+2 > 6x+10.

Now, add 10 and 2 togther to get -6x+12 > 6x+10.

Subtract 6x to both sides and subtract 12 to both sides and now you'll get

-12x > -2.

Now, divide each side by -12 to get x < 2/12 or 1/6. Notice how the sign is flipped since you divided by a -.

10-2(3x-1)>6x+10
10-6x+2 > 6x+10
10+2> 12x+10
12> 12x+10
2> 12x
1/6>x

X is less than 1/6

Find the sum of 7/13 and 11/26

Answers

Answer:

25/26

Step-by-step explanation:

7/13 = 14/26 + 11/26 = 25/26

(2/2 x 7/13)

NEED HELP ASAP!!!!
What is the value of x?
Enter your answer in the box.

Answers

Answer:46

Step-by-step explanation:

C! Just got the question and turned in the test, it’s C!!

A number n tripled equals -27

Answers

Answer:

n = - 9

Step-by-step explanation:

Hi there !

3n = - 27

n = - 27/3

n = - 9

Good luck !

Please help I’ll
Give you brainiest!!!!

Answers

Answer:

A-(1,0),(0,2),B-78

Step-by-step explanation:

A science club at Emily’s middle school has 25 members. Only 40% of the members attended Saturday meetings. What is the number of members that attended the Saturday meetings?

A. 6

B. 9

C. 10

D. 15

(Will give brainliest and a heart)

Answers

I’m pretty sure the answer is 15

lol i’m using this app to check my work

Factor completely 16c^2 -56c + 49

Answers

Factor using the perfect square rule is 4(c - 7)^2

XY = 4x + 7 and YZ = 8x – 1 whats XZ

Answers

Answer:

12x + 6

Step-by-step explanation:

Given

XY = 4x + 7 and YZ = 8x – 1 XZ = ?

As per angle addition postulate

XZ = XY + YZXZ = 4x + 7 + 8x - 1 XZ = 12x + 6

Ten less than seven times a number is the same as 3 times the number
plus 18. *

Answers

Answer: 10-7x3+18

Step-by-step explanation:

Ten less so that would be (10-) less than seven would make it (10-7) times a number is the same as 3 would make it (10-7x3) plus 18 would then make it (10-7x3+18)

Did that help??!!

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.
Given right triangle XYZ, which correctly describes the locations of the sides in relation to ∠Y?

a is opposite, b is adjacent, c is the hypotenuse
a is the hypotenuse, b is opposite, c is adjacent
a is adjacent, b is the hypotenuse, c is opposite
a is adjacent, b is opposite, c is the hypotenuse

Answers

Answer:

C. A is adjacent, B is opposite, C is the hypotenuse

The locations of the sides in relation to ∠Y are that a is adjacent, b is opposite, and c is the hypotenuse. The correct answer would be an option (D).

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In the right triangle XYZ we have

The legs are represented by sides a and b, whereas the hypotenuse is represented by side c. (the greater side)

Angle Y's adjacent side is side a, while angle X's opposite side is side b.

Side b is the opposing side of angle Y and next to angle X.

The hypotenuse is represented by side c.

Because the angles X and Y are complementary, their total equals 90 degrees.

Therefore, we can conclude that a is adjacent, b is opposite, and c is the hypotenuse.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the missing figure has been attached below.

Choose the system of inequalities that best matches he graph below.

Answers

Answer:

y<-2/3x. y< x-3

Step-by-step explanation:

y ≤ - (2/3)x and y < x - 3 are the system of inequalities that best matches he graph below.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

First, we can see that for both of the inequalities the shaded part is below the lines.

You also can see that the solid line (correspondent to the symbol ≤) is the one with a negative slope, and the dashed line (correspondent with the line <) is the one with a positive slope.

Only with that, we conclude that the correct option is B.

y ≤ - (2/3)x

y < x - 3

Hence, y ≤ - (2/3)x and y < x - 3 are the system of inequalities that best matches he graph below.

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What is the slope for this scenario?
Population of Olde Town
y
10000
O -500
8000
O-250
O
6000
Number of People
O 200
4000
2000
10
24
Time (years after 2000)

Answers

Answer:

Step-by-step explanation:

The answer is b -250

Where is the answer to the expression 5 - 9 located on a horizontal number line?
O 9 units to the left of 5
09 units to the right of 5
4 units to the right of 5
4 units to the left of 5

Answers

Answer:

A 09 units to the left of 5.

Step-by-step explanation:

The reason this is the answer is because going left on the number line signifies subtraction (down) and with 5 being your starting number you would be going down (left) the number line by 9

Help plzzzzz????????????

Answers

Answer:

U should start cooking at 11:39

Step-by-step explanation:

It would take 5 hours and 6 minutes to cook all of the ham

please help I need help and the first person to get it right gets the brainly

Answers

Answer: 6 x ^2+ 10

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14 international studies in the past 10 years. Among the patients with heart problems, researchers found at least one risk factor in 84.7% of the women and 80.7% of the men. If a woman is selected at random from the women with heart problems, what is the probability she has none of the risk factors? Write your answer as a percentage. % If a man is selected at random from the men with heart problems, what is the probability he has none of the risk factors? Write your answer as a percentage. %

Answers

Answer:

The probability she has none of the risk factors  [tex]P(N) =  15.3 \%[/tex]

The probability he has none of the risk factors [tex]P(M) =  19.3 \%[/tex]  

Step-by-step explanation:

From the question we are told that

    The  number of patients enrolled is  n  =  120,000

    The  number of international  studies is  N  =  14

    The  number of years is  y  =  10 years

    The risk  factor for  women  is  r = 84.7%

     The  risk factor for men is  R =  80.7%

     

Generally the probability that she has none of the risk factors is mathematically represented as

     [tex]P(N) =  100 - r)\%[/tex]

=>    [tex]P(N) =  100 - 84.7)\%[/tex]

=>    [tex]P(N) =  15.3 \%[/tex]  

Generally the probability that he has none of the risk factors is mathematically represented as

          [tex]P(M) =  100 - R)\%[/tex]

=>    [tex]P(M) =  100 -  80.7)\%[/tex]

=>    [tex]P(M) =  19.3 \%[/tex]  

     

Need help please, 30 points: Rewrite the expression with a rational exponent as a radical expression. five to the three fourths power all raised to the two thirds power the cube root of five squared the twelfth root of five the square root of five the cube root of five the fourth power

Answers

Correct arrangement of the question is;

Rewrite the rational exponent as a radical: five to the three fourths power all raised to the two thirds power

A) the cube root of 5 squared

B) the twelfth root of 5

C) the square root of 5

D) the cube root of 5 the fourth power

Answer:

Option C) the square root of 5

Step-by-step explanation:

We are given: five to the three fourths power all raised to the two thirds power

Translating that statement means 5 is raised to ¾ raised to ⅔.

In indices, when we have two powers attached to a number, the two powers will multiply each other.

Thus, 5 is raised to; ⅔ × ¾ = 2/4 = ½

Thus, 5 is raised to power ½.

Now, when a number is raised to the power ½, it is said to be square root of that number.

Thus, the right answer is square root of five.

Reduce this question to lowest terms 4/5 divided by 16/15

Answers

i found 3/4 but am not that sure if it's correct

h(x)=x^2 - 2 what is h(3)

Answers

Answer:

7

Step-by-step explanation:

x^2-2      x=3

Substitute the x to 3 and use Gema and/or Pemdas

3^2= 9

9-2= 7

Final answer: 7

PLEASE HELP
Talia begins at city and drives to city Q. She then drives to city S.
Which of the following should be included on the grid to represent
Talia's trip?
1 of 7 QUESTIONS
RS
RQ and Qs
RQ and QS
RQ and QS
Hos Terms Privacy Policy

Answers

I would say that it would be the third option

Which equation has no solution? Help Now Plz!!

Answers

Answer:

C

Step-by-step explanation:

Because 3/8 plus 1/4 equal 5/8, and then the two 5/8s cancel out.

If all of the dimensions in a cone increase by a factor of 5. How many times greater is the volume?​

Answers

Answer:

125 times bigger.

Step-by-step explanation:

A great way to visualize this problem is to think of it as a volume problem itself. Another good way to think about it is to plug in numbers in its place.

Way #1

5*5*5 (or 5^3)=125

Way #2

(2*2*2)=8

(2*5)*(2*5)*(2*5)=1000

1000/8=125

Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?

Answers

Answer:

I mean I think he is because the interest is less now, I still think it's irresponsible to take from his savings but ¯\_(ツ)_/¯

Please help!!! I will mark Brainliest

Answers

Answer:

it would be A

Step-by-step explanation:

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