is AC greater than, less than, or equal to BC? explain your reasoning

Is AC Greater Than, Less Than, Or Equal To BC? Explain Your Reasoning

Answers

Answer 1

Answer:

AC is greater than BC

Step-by-step explanation:

First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,

90 degrees + angle ABC = 180 degrees

subtract 90 degrees from both sides to isolate angle ABC

angle ABC = 90 degrees

Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.

In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that

AC² = AB² + BC²

As the length of a side has to be greater than 0, we can say that

AC² = AB² + BC²

AB² > 0

AC² > BC²

square root both sides

AC > BC

Therefore, AC is greater than BC


Related Questions

Does (2, 1) make the equation y = 8x true? yes no​

Answers

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

A marketing researcher interviews a large number of respondents and asks them a set of questions that are listed in a questionnaire. The respondents are required to select a response from a given set of options. In this case, the researcher is _____.

Answers

Answer: conducting quantitative research

Step-by-step explanation:

Quantitative research refers to the collection and the analysis of numerical data. Quantitative research can be used in making predictions, and testing casual relationships.

Quantitative research methods emphasize the numerical analysis of data which can be collected through questionnaires, polls, surveys etc.

Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]

Let secθ = 1 / cosθ and cscθ = 1 / sinθ:

[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]

Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:

[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Combine fractions:

[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Simplify. Recall that sin²θ + cos²θ = 1:

[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Multiply the fraction by two:

[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]

Recall that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]

By definition:

[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]

Hence proven.

what is the volume of the square pyramid? answer i need this done for my geometry credit thank you

Answers

Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

[tex]volume=1/3(area ~of ~base) \times( height)[/tex]

[tex]v=1/3(7\times7)\times7[/tex]

[tex]v=343/3[/tex]

[tex]v=114[/tex]

-----------------------

hope it helps...

have a great day!!

What is the midpoint of the segment with endpoints(-4, -
2) and (2, 6)?

Answers

Answer:

(-1,2)

Step-by-step explanation:

hope you find this useful!

https://ncalculators.com/geometry/mid-points-calculator.htm

Max earned $8 for each hour of work he completed. His mom put $120 in his savings account at the end of the summer. By the end of the summer, Max had $400 in his savings account. Write an equation to determine the number of hours Max worked over the summer.

Answers

Answer:

8x +120= 400

Step-by-step explanation:

Let the number of hours Max worked over the summer be x.

Assuming that he had $0 in his bank at the start of summer,

Total savings= 8(number of hours) +120

400= 8x +120

8x +120= 400

To find the value of x, first bring all the constants to one side of the equation.

8x= 400 -120

Simplify:

8x= 280

Divide both sides by 8:

x= 280 ÷8

x= 35

∴ Max worked for 35 hours over the summer.

Someone tell me where everyone is going right please !!

Answers

Answer:

A 2

B 1

C 4

D 3

Step-by-step explanation:

( ) means not including (also used for infinity)

[ ] means including

The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []

Explanation for A:

x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".

x can be anything, it just has to be less than 7.8, so the answer is:

2 (-infinity, 7.8)

Explanation for B:

x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".

x can be anything, it just has to be less than or equal to 7.8, so the answer is:

1 (-infinity, 7.8]

Explanation for C:

x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".

x can be anything, it just has to be greater than or equal to 7.8, so the answer is:

4 [7.8, infinity)

Explanation for D:

x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".

x can be anything, it just has to be greater than 7.8, so the answer is:

3 (7.8, infinity)

Hope it helps (●'◡'●)

Answer:

A:2 B:1 C:4 D:3

Step-by-step explanation:

use the graph to find the value of y=sin q for the value of q 330​

Answers

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

Plz help me solve this ASAP and show the work thank you

Answers

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

35 degrees

Step-by-step explanation:

since both sides are equal, so are the angles involved.

help me pls I dont get this

Answers

Answer:

D

Step-by-step explanation:

The answer is D because if you flip those circles down and wrap the rectangle around it will create a cylinder

what shape is this cause I'm having a bit of trouble?​

Answers

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

I think that’s a square because it has 4 equal sides

What percent did the price drop

Answers

Answer:

10%

Step-by-step explanation:

You have the correct answer. Nice job!

Cual es!!! Es examen ayudaaaaa

Answers

hello babyyy hpi how you

What is the measure of side B’C’?

Answers

36 bc it has 3 different sides and it all equals


PLEASE HELP.
if v1….

Answers

I believe the answer is 4.4

For each journey between work and home, Arjun uses 1.3 gallons of petrol. Arjun has 52 litres of petrol in his car. How many complete journeys between work and home can he do?
1 gallon = 4.5 litres.

Answers

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

can anyone answer this? (2y²-3xy)÷y.​

Answers

the answer would be y x(2y-3x)

Answer:

2y - 3x

Step-by-step explanation:

Given

(2y² - 3xy) ÷ y

Divide each term on the numerator by y , that is

[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )

= 2y - 3x

What is the other solution to the equation (Algebra ll) *URGENT*

Answers

Given:

The equation is:

[tex]3-2|0.5x+1.5|=2[/tex]

One solution of this equation is -2.

To find:

The another solution of the given equation.

Solution:

We have,

[tex]3-2|0.5x+1.5|=2[/tex]

It can be written as:

[tex]-2|0.5x+1.5|=2-3[/tex]

[tex]-2|0.5x+1.5|=-1[/tex]

Divide both sides by -2.

[tex]|0.5x+1.5|=0.5[/tex]

After removing the modulus, we get

[tex]0.5x+1.5=\pm 0.5[/tex]

Case I:

[tex]0.5x+1.5=0.5[/tex]

[tex]0.5x=0.5-1.5[/tex]

[tex]0.5x=-1[/tex]

Divide both sides by 0.5.

[tex]x=-2[/tex]

Case II:

[tex]0.5x+1.5=-0.5[/tex]

[tex]0.5x=-0.5-1.5[/tex]

[tex]0.5x=-2[/tex]

Divide both sides by 0.5.

[tex]x=-4[/tex]

One solution of the given equation is [tex]x=-2[/tex] and the another one is [tex]x=-4[/tex].

Therefore, the correct option is B.

The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.
a. 5%
b. 80%
c 6 2/3
d 10%​

Answers

the answer to is percent is b

The rate is 4% per year.

It is required to find the rate of interest.

What is simple interest ?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Let, principal is P,

so, interest is P/5 in 5 yrs.

As from the formula of simple interest,

So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%

So, rate is 4% per year.

Learn more about simple interest here:

https://brainly.com/question/24181542

#SPJ2

The missing option is e. 4%

given the following diagram, find the required measure.

Answers

Answer:

m<6=90

Step-by-step explanation:

the answer is 90 or D

Answer:

90

Step-by-step explanation:

If 1 = 140, then 2 = 40. 180-140=40

If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90

Linear angles = 180

Triangle Sum Theorem = Sum of all angles in a triangle = 180

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases

Answers

Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=

Answers

Answer:

[tex]p=11.2[/tex]

Step-by-step explanation:

Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:

[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]

Simplify:

[tex]14.3p-32.24=127.92[/tex]

Add 32.24 to both sides:

[tex]14.3p=160.16[/tex]

Divide both sides by 14.3:

[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]

What is the domain and range of graph!!! 10 points!!!

Answers

Answer:

THIRD OPTION - Domain: (0, infinity)

Range: (-infinity, + infinity)

Step-by-step explanation:

The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.

What is the length of AC?
A
8
B
C
O

Answers

Answer:

hi, it's 16 because:

[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]

Answer:

16

Step-by-step explanation:

Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.

In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.

Also,

AB + BC = AC

By substitution, we have

AB + AB = AC

AC = 2AB

AC = 2(8)

AC = 16

Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha

Answers

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?

Answers

Answer:

D) 1:1

Step-by-step explanation:

Answer:
D). 1:1

Explanation:
It would be 90° to 90° which simplifies to 1:1

I hope this helped :)

Please need a help !!
Need explanation
Urgent​

Answers

I think its this, havent checked though

What is the answer to this question

Answers

your answer would be C
if triangle efg is equal to hjk then it will still be equal the opposite way. The symmetric property tells us that both sides of the equal sign are equal no matter what side they are on.
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