Use the converse of the Pythagorean Theorem to check whether a triangle whose sides are of lengths​ 11, 60, and 61 is a right triangle.
First square the lengths of the sides.

11^2 =
60^2 =
61^2 =

Answers

Answer 1

Answer:

yes a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' theorem.

If the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 61 and 61² = 3721 , then

60² + 11² = 3600 + 121 = 3721

Since 61² = 60² + 11² then the triangle is right.


Related Questions

In a competitive examination negative marks of 2 are awarded for each wrong answers and 4 marks for every correct answer. If neerav gets 15 correct answers and 5 wrong answers and rajan gets 14 correct answers and no wrong answers, who gets more marks and by how much?

Answers

9514 1404 393

Answer:

  Rajan gets 6 marks more

Step-by-step explanation:

Neerav's marks are (15)(4) +(5)(-2) = 60 -10 = 50.

Rajan's marks are (14)(4) = 56.

Rajan gets 6 more marks than Neerav.

A student says that if 5x2 = 20, then x must be
equal to 2. Do
you agree or disagree with the
student? Justify your answer.

Answers

Answer:

I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:

5(-2)(2) = ?

-10 x 2 = ?

? = -20

-20 ≠ 20

Step-by-step explanation:

Justificaiton:

5(x)(2) = 20

10(x) = 20

10/10(x) = 20/10

x = 2

Second Justification:

5(x)(2) = 20

5/5(x)(2) = 20/5

2x = 4

2x/2 = 4/2

x = 2

Answer:

Step-by-step explanation:

Jasmine bought 3500g of flour. She used 3/7 of it to bake some tarts and 700g of it to bake a cake. Find the ratio of the amount of flour used for baking the cake to the amount of flour used for baking the tarts to the remaining amount of flour.​

Answers

Answer: 15:13

Step-by-step explanation: 7/7=3500

1/7=3500÷7=500500x3=15001500+700=22003500-2200=13001500:130015     :   13 (if there is a need to simplify the                         ratio)

help me plz branniest to whoever right

Answers

[x+(-2)]÷2=5
(y+6)÷2=8

x=12
y=10
(x, y)=(12, 10)

Hope my answer helped u :)

Suppose an ATM PIN must consist of 6 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with repeats allowed. For example, an acceptable PIN could be 955123.
1. How many possible ATM PINs are possible?
2. If someone had one attempt to guess an ATM PIN, what is the probability they would guess correctly with one attempt?

Answers

Answer:

1) the no. of possible pins are 6×5×4×3×2×1

=720

2) the probability is 1/720

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:120 degrees

Step-by-step explanation:

Use the graph of f(x) to explain the relationship
between the real zeros of f(x) and its intercept(s).
4

A. f(x) has one real zero at --2 because the graph of the
function has an intercept at (0.-2).
B. f(x) has two real zeros at -4 and -2 because the
graph of the function has intercepts at (-4,0) and (0,
-2).
C. f(x) has no real zeros because the graph of the
function does not pass through (0,0).
D. f(x) has one real zero at 4 because the graph of the
function has an intercept at (-4, 0).

Answers

Answer:

D.f(x) has one real zero at 4 because the graph of the function has an intercept at (-4,0).

A line passes through the point (-4,-6) and has a slope of -5/2. Write an equation in slope intercept form for this line

Answers

Answer:

y= -5/2x-16

draw the point on the graph and use rise over run to find the y intercept

Answer:

y= -5/2x-16

Step-by-step explanation:

hope it helps

hope its right :)

how to answer tyhis question plz i need help quick

Answers

In your problem, the aqueduct rises 3 meters (Rise= 3) for every kilometer (1,000 meters) in length (Run = 1,000), so the slope is Rise/Run=3/1000=0.003.

Does this help?

Students in Ms. Bell’s geometry class created posters of geometric definitions. Which of the following is the most precise definition?


A. Parallel lines are lines that do not intersect.

B. A line segment is part of a line that has an endpoint.

C. Perpendicular lines are lines that intersect at a right angle.

D. An angle is formed by two lines, two segments or two rays in one plane.

Answers

Answer:

C

Step-by-step explanation:

D is missing 2 ideas.

An angle can be formed by a mixture of the types of figures quoted.An angle has common or shared endpoint.

B: to me is unclear. A line does not have an endpoint. A ray does.

A: you need to mention that the lines are coplanar.

I think, brief though it is, C is the most complete and at the same time simplest choice.

Three times the sum of a number and 2 is the same as three-fifths of the sum of the same
number and 22. What is the number?

Answers

Answer:

3

Step-by-step explanation:

3(n+2)=3/5(n+22)

3n+6=3/5n+66/5

3n-3/5n = 66/5 - 6

2.4n = 7.2

n = 7.2/2.4

n = 3

I NEED HELP IM DOING A EXAM
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x

Answers

Answer:

1.0

2.0

3.2

4.3

Step-by-step explanation:

1.3x+18-3x+18

2.-2x+2-2+2x

3.x-x+4-2

4.-2x-4+5+2x

Answer:

3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)

.......

Clever.com
S
55°
W
Angle STV is a right angle.
The measure of angle STW is 55°.
The measure of angle WTV is xº.
What is the value of x?
to
Х
5
=
?

Answers

Answer:

x= 35

Step-by-step explanation:

STV°= WTV° + STW°

STV°=90

WTV°=x

STW°=55

subtitute in above:

90= x + 55

x= 90-55

x= 35

5) If point M is (-3,-1) and point P is (2,8), what is the y-coordinate of the midpoint of MP ?

Answers

Answer:

Find the equation with a point and y-intercept.

y=(yx−5x)x+5

Step-by-step explanation:

There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9 ounces, how many cans of corn should be bought for the dinner?

Answers

Answer:

5 cans

Step-by-step explanation:

First multiply 15 by 3 to see how many ounces are needed in total: 15x3=45

Then divide 45 by 9 to see the amount of cans: 45/9=5

PLEASE HELP IN A RUSH
What is the least common multiple (LCM) of 4 and 7?

Answers

The least common multiple of 4 and 7 is 28

Answer:

The least common multiple of 4 and 7 is 28

Can a triangle be formed with side lengths of 2inches, 3 inches, and 6 inches?

Answers

The shows the 2 and 3 inch line segments at a
180
o
angle. There is no angle you can put the 2 and 3 inch line segment at which will allow it to be 6 in. long.
This will not be possible because triangles should have two sides that are the same length in order to be a regular triangle.

Noah bought 5 pounds of onions at $2 per pound and a bag of salad greens for $4. How much money did he spend?cant someone help me please​

Answers

5 pounds of onions 2$ each = 10$
A bag of salad greens for 4$ = 4$

10$ + 4$ = 14$

The answer is B.

please help somebodydds

Answers

Answer :

RA , TR , and HP

................

Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum​

Answers

Hope I helped you enjoy your day

Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460

Answers

Answer:

The answer is 22,650

So, option b for you

Step-by-step explanation:

To find the sum of even numbers from 2 to 300, the formula we use is,

N ( N + 1 )

Where N is given by,

N = [( first number + last number)/2] - 1

So here, N = [ (2 + 300 ) / 2 ] - 1 = 150

And hence Sum = 150 * 151 = 22650

A water wheel has a radius of 18 feet. the wheel is rotating at 5 revolutions per minute. find the linear speed, in feet per minute, of the water

Answers

Answer:

The linear speed is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

substitute

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

therefore

The linear speed is

write rhis number in standard notation. 1.342×10^-7​

Answers

Answer:

0.0000001342

Step-by-step explanation:

A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

[tex]perimeter = (side + side + side)[/tex]

substitute:

[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]

group like terms together:

[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]

2x ^ 4 What is being raised to the exponent ?

Answers

The power 4 is being raised to the EXPONENT

Answer:

x

Step-by-step explanation:

Given

2[tex]x^{4}[/tex] ← the exponent 4 is attached to the variable x only

[tex](2x)^{4}[/tex] = [tex]2^{4}[/tex] [tex]x^{4}[/tex]  where the 4 is attached to both the 2 and the x

Two angles are supplementary. The measure of the larger angle is 36 more than the measure of the smaller angle. Find their measures.

the answers are 72° and 108° but I need help showing my work​

Answers

x = smaller angle

x+36 = larger angle, since its 36 degrees more than the smaller angle

The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)

So this means we can say the following:

(smaller)+(larger) = 180

(x) + (x+36) = 180

2x+36 = 180

2x = 180-36

2x = 144

x = 144/2

x = 72 is the smaller angle

x+36 = 72+36 = 108 is the larger angle

As a check:

smaller+larger = 72+108 = 180

which shows they are supplementary and it confirms our answers

Step-by-step explanation:

let the smaller angle be x

then the measure of larger angle will be x+36

x+x+36=180°(being supplementary angle)

2x+36=180°

2x=180°-36

2x=144°

x=144°/2

x=72°

now,

the larger angle x+36 = 72+36=108°

√400=x² what is x? Thanks

Answers

Answer:

x=4.47213

I hope it's helps you

Please help with this question

Answers

Answer:

bdjjirलअाफखनल पनपअ लbबजदहडनदजडनफjnnkdffruidirbttjt tjrjnf h

Step-by-step explanation:

uuhsbd?eg\bnothing hereafter hgbg

1 - 5(x+2)=10+5x

2- 7/8 (48x-8)+4=3(5x-19)

Answers

9514 1404 393

Answer:

infinite solutionsx = -2

Step-by-step explanation:

1. The equation simplifies as follows:

  5(x +2) =10 +5x

  5x +10 = 5x +10 . . . . . eliminate parentheses, write in standard form

  0 = 0 . . . . . . . . . . . . . . subtract 5x+10 from both sides

This is true for all values of x. Any value of x is a solution to this equation. There are an infinite number of solutions.

__

2. 7/8(48x -8) +4 = 3(5x -19) . . . . given

  42x -7 +4 = 15x -57 . . . . . . . . eliminate parentheses

  25x = -50 . . . . . . . . . . . . . add 7-15x to both sides

  x = -2 . . . . . . . . . . . . . . divide by 25

Check

  7/8(48(-2) -8) +4 = 3(5(-2) -19) . . . . substitute for x

  7/8(-96 -8) +4 = 3(-10 -19)

  7/8(-104) +4 = 3(-29)

  -91 +4 = -87 . . . . . . . . . . true

Solve the equation: 6/2(1+2) =?

Answers

Answer:

answer must be 9

Step-by-step explanation:

6/2×3

3×3

9 ans

Answer: 9

Step-by-step explanation:

( 6/2) = 3

( 1+2) = 3

3*3=9

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