Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?

Answers

Answer 1

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:

Given

Shape: Triangle

Sides: a, b, c

Longest: c

Required

Select the true statements (See comment section for options)

From the options, we can see that we need to prove if the triangle is right-angled or not.

Since side c is the longest side, it means that side c is the hypotenuse.

Applying Pythagoras theorem

We have that:

[tex]a^2 + b^2 = c^2[/tex]

If the above mathematical statement is true, then the triangle is right-angled

Answer 2

Answer:

If a^2 + b^2 =c^2, then the triangle is a right triangle.

Step-by-step explanation:


Related Questions

Which of the following is the same as 4*39*23

Answers

Answer:

What are the answer choices if there are any

Step-by-step explanation:

ASAP ASAP ASAP ASAP MATH MATH MATH homework

Answers

Answer:

$20

Step-by-step explanation:

Simple, if he sold 16 pretzels, and each one costs $1.25, then multiply the cost by how many:

16X1.25=20

So he got $20

I hope this helps!

Answer:

20

Step-by-step explanation:

HURRYYY!!
Which of the following expressions is correctly written in scientific notation?
32.1 x 107
7.31 x 10-2
0.22 x 10-

Answers

Answer:

The middle one

Step-by-step explanation:

What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter​

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]

Find the value of x so that f(x)=3

Answers

Answer:

f(x) = (1/3)x - 2  

f(x) = (1/3)(3) - 2  

f(x) = 1 - 2  = -1

Step-by-step explanation:

f(x) usually refers to a function not a multiplication of two variables

36 = 4x

Thank you | (• ◡•)|

Answers

Answer:

x = 9

Step-by-step explanation:

the answer is x=9 have a good one!

Many U.S. employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she make in 2012?

Answers

Answer:

48,410

Step-by-step explanation:

47,000 + 3% = 48,410

Find the values of x and y - will give brainliest if right

Answers

Answer:

x=31 and y=45.........

Answer:

4x=3y-11

3y-11=180-56

3y-11=124

3y=135

y=45

4x=124

x=31

Step-by-step explanation:


If it took 10 hours to mow
of 15 lawns, then at that
rate, how many lawns could be sell in : mowed in 24 hours? What was the
rate of lawns mowed per hour?

Answers

if that’s the equation then You’re answer is thirty two

35 = -7a + 14
Solve for a

Answers

Answer:

a = -3

Step-by-step explanation:

35 = -7a + 14

-14 + 35 = -7a + 14 - 14

21 = -7a

21/-7 = -7a/-7

-3 = a

a = -3

Answer:

-3=a

Step-by-step explanation:

35=-7a+14

subtract 14

21=-7a

divide both sides by -7

-3=a

y=2x+5,y=0.5x-1 solve

Answers

Answer:

y=2x+5............(1)

y=0.5x-1...........(2)

Step-by-step explanation:

equalizing equation (1)&(2),we get

2x+5=0.5x-1

2x-0.5x=-1-5

1.5x=-6

x=-6/1.5=-4

substituting value of x in equation (1),we get

y=2×-4+5=-8+5=-3

you start at 5,4 and move 2 units left and 2 units down

Answers

Answer:

(3,2)

Step-by-step explanation:

Answer:
(3,2)

Explanation:
When you move the point up, add to the y-coordinate. When you move the point down, subtract from the y-coordinate.
When you move the point to the right, add to the x-coordinate. When you move the point to the left, subtract from the x-coordinate.

(5,4)
Because we move 2 units left, we subtract 2 from the x-coordinate.
(3,4)
Because we move 2 units down, we subtract 2 from the y-coordinate
(3,2)

I hope this helps!


What is the slope of the line?
It would also be very helpful if you could simplify the way you solved the problem :)

Answers

3/1 or 3

i just counted going up and then went over because of rise over run but... you can also use y2-y1/x2-x1 with two different points to get the answer

A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?

Answers

Answer:

595,000

Step-by-step explanation:

find 5% of the present population

5/100*350,000 =17,500

there fore the population increases by 17,500 yearly

in 14 yrs time

=(14*17500) + 350,000

=245000+350000

=595000

Which of these lengths could be the sides of a triangle?
A) 5 cm, 19 cm, 14 cm
B) 14 cm, 24 cm, 8 cm
C) 19 cm, 5 cm, 15 cm
D) 24 cm, 14 cm, 9 cm

Answers

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

The equation y
= 10x + 15 represents a gym that charges. What is the slope and y-intercept?

Answers

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

The slope of an equation is 10 and the y-intercept is 15. Therefore, option B is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the equation y= 10x + 15 represents a gym that charges.

By comparing y=10x+15 with y=mx+c, we get

Slope (m)=10 and y-intercept (c)=15

Therefore, option B is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

1. Angela was doing her homework when her dog bit

off a piece of paper. All she had left was the start

of the sequence: 4, 12, ... and the fact that 972 was some term of the sequence.

a. If the sequence is arithmetic, what is the equation of the nth term and what number term is 972?

Answers

Answer:

The equation is 8n-4 and 972 is the 122nd term of the sequence

Step-by-step explanation

12-4=8

12-8=4

8n+4

972+4=976

976/8=122

Evaluate the expression when a=3, b=2, and c=12: 6+a​

Answers

9 is your answer.


6+3 is 9. You added these two because a=3.

The population of a certain city be modeled by y=7870(1.01)^x where x is the number of years since the city was founded and y is the population.

Answers

Answer:

B.

Step-by-step explanation:

We are given the function:

[tex]y=7870(1.01)^x[/tex]

Which represents the population of a certain city x years after it was founded.

The y-intercept is the y-value when x = 0. So:

[tex]y(0)=7870(1.01)^0=7870(1)=7870[/tex]

If x = 0, this means that zero years have passed since the city was founded.

So, the y-intercept represents the initial amount of people when the city was founded (in this case, there were 7870 people).

The correct answer is B.

does anyone know how to do this

Answers

Answer:

Step-by-step explanation:

The domain is basically the highest x and the lowest x.

[-3, ∞)

The range is the highest and lowest y.

[-4.649, ∞)

Local maximum is the highest part of the specific part of the graph.

(-1.423, 3.389)

And the local minimum is basically the same thing but with the lowest part.

(1.757, -4.649)

Help pleassssee

An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period

Answers

150 * 1.25 * 1.25* 1.25 = £292.97
Hope it helps

Can someone please help me????

Answers

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

yeah it’s a no.
answer is no

What is the mean average of 100, 75, 40, 90, 80, 100, 92, 88, 80, 84, 81?

Answers

Answer:

The mean average is 82.727272727273

Answer:

82.727272727272727272727272728

Step-by-step explanation:

(100+75+40+90+80+100+92+88+80+84+81)/11

GEOMETRY: You are building a shelf that fits in a corner. In the figure, the entire shelf is IJK . Each unit in the coordinate plane represents one inch.

Answers

Answer:

A= 12.5 inches²

Step-by-step explanation:

a=1/2bh

a=1/2(5)5

a=1/2(25)

a= 12.5

please please help.
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?

Answers

Answer:

%68.04

Step-by-step explanation:

I need help ASAP! Awarding 30 points

Answers

Answer:

its b or c

Step-by-step explanation:

oof oof oof b or x

Solve the system of equations by graphing. [x+y=4 7x-6y=54​

Answers

Answer:

(x,y)=(6,-2)

Step-by-step explanation:

to understand thisyou need to know about:linear equationsystem of linear equationsolving system of linear equation by graphingPEMDASgiven:[tex] \begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}[/tex]tips and formulas:to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept formslope intercept form:y=mx+blet's solve:

let's simplify first linear equation to slope -intercept form

x+y=4

y=-x+4

table for this equation

see the first attachment picture

let's simplify first linear equation to slope -intercept form

[tex] \sf7x - 6y = 54[/tex]

[tex] \sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9[/tex]

table for this equation

see the second attached picture

solutions by graphing the system of linear equation

see the last attached picture

note: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y

39 divided (2+1) - 2x(4+1)

Answers

the answer is,

[tex]13 - 10x[/tex]

CAN ANYONE PLEASE HELP ME ?!?!?! I NEED HELP WITH MATH IF YOU HAVE A COUPLE MINUTES CAN YOU PLEASE HELP?! I NEED HELP WITH MATH, SYSTEMS OF EQUATIONS IN 9TH GRADE MATH TO BE SPECIFIC

Answers

Answer:

Ok ill help whats the problem

Step-by-step explanation:

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
y = - 2 x + 2
y = 2 x - 2
y = 2 x + 2

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The general form

is;

y = mx + b

where m is the slope and b is the y-intercept

so we have;

y = mx + 2

To get m, substitute the point (-1,0)

So we have

0 = -m + 2

m = 2

So the equation is;

y = 2x + 2

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