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

If b2 + c2 = a2, then the triangle is a right triangle.
If a2 + c2 = b2, then the triangle is a right triangle.
If a2 + b2 =c2, then the triangle is a right triangle.
If a2 = b2 = c2, then the triangle is a right triangle.

Answers

Answer 1

Answer:

It is C. If a2 + b2 =c2, then the triangle is a right triangle.

Step-by-step explanation:

Answer 2

If a triangle has side lengths a, b, and c, where c is the longest side, then the statement "If a2 + b2 = c2, then the triangle is a right triangle", the correct option is C.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

We are given that;

Sides of triangle are a, b and c

Now,

This statement is known as the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (a and b) is equal to the square of the length of the hypotenuse (c).

Conversely, if a triangle satisfies the Pythagorean Theorem, then it is a right triangle.

Therefore, by Pythagoras theorem the answer will be a2 + b2 = c2, then the triangle is a right triangle.

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Related Questions

A circle is divided into 4 slices. The slices are arranged into the shape
shown. What a hapo would you get closer to if you kept cutting the circle
into more and more alices?
Hexagon
Rectangle
Pentagon
Triangle
, SOMEONE PLZ HELPPPPP

Answers

On cutting the circle into more and more slices, its shape will get closer to a rectangle.

What is a circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, a circle is divided into 4 slices. The slices are arranged into the shape.

So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,

When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.

Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.

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Final answer:

When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.

Explanation:

If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.

Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.

I need your help and fast

Answers

Answer:

copy

Step-by-step explanation:

just copy and paste your answers to google

To find the square root of 12, what is most likely to be an ancient Babylonian’s first guess?
please help. I don't understand it. Please and thank you to whoever answers :')

Answers

Answer:2 root 3

Or 3.464101615

Step-by-step explanation:

Answer:

b. 3

Step-by-step explanation:

what is the square root of r^64?
a. r^4
b. r^8
c. r^16
d. r^32

Answers

Answer is r^8
Square root of 64 is 8, 8x8=64

Determine whether the two quantities is proportional

Answers

Answer:

No, is not proportional because it does not go through the origin

Step-by-step explanation:

In order to find whether this is proportional or not you gotta divide y from x

and if the result is the same it means the relationship it is proportional.

30/2=15

40/4=10

50/6=8.333

The relationship is not proportional

The sum of two numbers is 38. The smaller number is eight less than the larger number. What are the numbers?

Answers

The numbers are 30 and 8?

Answer: 15 + 23 =38

So n + n + 8 = 38

which means n + n = 30

and since the n's are the same, you just cut the 30 in 2 equal pieces. 15 and 15.

So n = 15, n + 8 = 23

15 + 23 = 38   :)

What is 9z when z = 2

Answers

Answer:

18

Step-by-step explanation:

9 times 2 equals 18

Answer:

18

Step-by-step explanation:

9z, z=2

9x2=18

What is the radius of the circle?

Answers

r=1 because its in the middle

Answer: The radius of the circle would be 4 because if you count from the center going either up, down, left, or right you would count 4. The radius of the circle will remain the same no matter which way you go

Step-by-step explanation:

MARKING AS BRAINLIST HELP ASAP

Answers

Answer:

42

Step-by-step explanation:

Because the circle is tangent to all sides, that makes the perimeter of the triangle equivalent to the sum of the numbers given, multiplied by 2.

(6+10+5)(2) = 42 inches

The answer is 42 inches

You deposit $300 in a savings account. The account earns 2% simple interest per year. What is the interest and balance earned after 10 years?

Answers

Answer:

$365.70

Step-by-step explanation:

The formula to find this is [tex]y = a(1+r)^t\\[/tex]

For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.

So to solve, you would do

[tex]y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest[/tex]

Please answer ASAP
A guitar shop is offering two deals on their guitars. Each guitar is $50 less than its initial sale price. In addition, customers receive a further discount of $3 off each $5 of the sale price. Write a function that represents the final price of a guitar f(x) with an initial price of x. If a guitars initial price was $200, what would it be with the discount?

Answers

Answer:

30 dollar discount

Step-by-step explanation:

Using the discount parameters given, the final sale price function of the guitar would be f(x) = x - 0.6x - 30 and the discount on initial price of $200 would be $90

Let initial price = x

First discount :

$50 off :

f(x) = x - 50

Second discount :

$3 off each $5 of sale price

3/5 of sale price = 0.6 × (x - 50)

Final discount :

0.6( x - 50) = 0.6x - 30

The Final sale price :

f(x) = x - 0.6x - 30

Given an initial price, x = 200

Discount on price :

Final discount = 0.6x - 30

Discount on price of x = 200 :

0.6(200) - 30

120 - 30 = $90

Therefore, the discount on the price is $90

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6/10 + 20/100 = 8/10

Answers

6/10 can be simplified but we don't need to worry about it right now. We only need to worry about simplifying 20/100:

20/100 → 10/50 → 5/25 → 1/5

Find common denominators

1/5 → 2/10

6/10

Now, add.

6/10 + 2/10 = 8/10

Therefore, the equation is true.

Best of Luck!

Answer:

6/10+20/100 does not equal 8/10

Step-by-step explanation:

“Find the missing variable for this proportion.”

Answers

Hope this helps with the answer

The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 6 of the games? Round your answer to the nearest tenth of a percent.

Answers

Answer: its 7

Step-by-step explanation:

what is 3/5 to the 0 power

Answers

Answer:

1

Step-by-step explanation:

(3/5) ^0

Anything raised to the zero power is 1

(except 0) but we will leave that for an advanced math discussion

Answer:

3

Step-by-step explanation:

Suponiendo que la altura (en centímetros) de una vela es una función lineal del tiempo (en horas) que permanece encendida. Tras estar encendida 9 horas, una vela mide 18.3 centímetros de alto. Tras estar encendida 26 horas, mide 13.2 centímetros de alto. ¿Cuál es la altura de la vela tras estar encendida 19 horas?

Answers

Answer:

je ne sais pas le comprendre

Step-by-step explanation:

Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work.

Which graph best represents the scenario?

Answers

Answer:

the 4th graph

Step-by-step explanation:

it illustrates correctly

Answer:

The last graph.

Step-by-step explanation:

the one that goes a little bit up, then its flat( thats when they waited for the bus), and then rode the bus for 25 minutes, then goes up. 50-25=25.

It goes from 0 to 10. Then 10 to 20. Then 25 up to 50.

Rhonda tutors students after school. She charges $25 per hour to tutor math students and $30 per hour to tutor science students.
She tutored math students for 3 hours on Thursday and science students for 5 hours on Monday.

Which of the following expressions can be used to find the total amount of money that Rhonda earned?
A. (50 + 30) × (5 + 3)
B. (3 + 25) × (5 + 30)
C. (5 × 25) + (3 × 30)
D. (3 × 25) + (5 × 30)

Answers

Answer:D

Step-by-step explanation:

Answer:

[3x25]+[5x30]

Step-by-step explanation:

Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.

Answers

Answer:

60 degrees

Step-by-step explanation:

angle y is vertically opposite to angle a, (we can call it.)

angle x is supplementary to the other angle inside the triangle, which we can call angle b.

so, angle a is 60 degrees, as vertically opposite angles are equal

angle b is 60 degrees as supplementary angles = 180

based of the sum of angles in a triangle is 180 theorem;

60+60+unknown= 180

so unknown is 60 degrees

how do you solve 5y+1=10y^2

Answers

[tex]5y+1=10y^2\\10y^2-5y-1=0\\D=(-5)^2-4*10*(-1)=25+40=65=\sqrt{65}^2 \\y_1=\frac{5+\sqrt{65} }{20} \\y_2=\frac{5-\sqrt{65} }{20}[/tex]

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P.S. Hello from Russia :^)

enter a negative number that is greater than -8

Answers

Answer:

-7

Step-by-step explanation:

What is the distance between the points (4,-2) and (-1,10)?

A. 5 units
B. 6 units
C. 12 units
D. 13 units

Answers

Answer:

D. 13 units

Step-by-step explanation:

Final answer:

The distance between the points (4,-2) and (-1,10) is 13 units.

Explanation:

To find the distance between two points, we can use the distance formula. The distance formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (4, -2) and the coordinates of the second point are (-1, 10). Plugging these values into the distance formula, we get:

d = sqrt((-1 - 4)^2 + (10 - (-2))^2) = sqrt((-5)^2 + (12)^2) = sqrt(25 + 144) = sqrt(169) = 13 units

Therefore, the distance between the points (4, -2) and (-1, 10) is 13 units.

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URGENT!!!
Which is equal to sin of angle e?
a) cos of angle D
b) cos of angle F
c) sin of angle D
d) sin of angle F

Answers

Answer:

B) cos f

Step-by-step explanation:

sin e = DF/EF

cos d = (which side is adjacent i don't even know)/EF

cos f = DF/EF

sin d = opposite (hypotenuse)/hypotenuse, doesn't make sense

sin f = DE/EF

life lesson in trig: don't try to do right triangle trig using the right angle, it won't work out

What is the volume of the figure below, in cubic centimeters?

756
936
1008
1080

Answers

936 I think is the best answer

Answer:

B 396

Step-by-step explanation:

Look at this set of 10 numbers:
1 7 3 9 9 9 5 9 4 5
By how much would the median decrease if the number 6 were added to the set?

Answers

In the original set of numbers, the median is six
But, if six was added to the set, then the median would be six
So the median wouldn't decrease at all
The median is the middle number of all the numbers in the data set which are in numerical order.

1st put them in numerical order and close one off from each end until you get to the middle

1 3 4 5 5 7 9 9 9 9

Because there is an even number, there are two numbers so you have to take the average.

(5+7)/2 = 6

For the new number group, add 6 to the list

1 3 4 5 5 6 7 9 9 9 9

Cross one off from each side until you get the middle and the new median is also 6.

Therefore, the median did not decrease, it stayed the same.


y = 4x + 11
y = -2x - 1

Answers

Answer:

x = -2, y= 3

Step-by-step explanation:

y = 4x + 11

y = -2x - 1

Because both equations are equal to y, we can set them equal to each other

4x + 11 = -2x - 1

Add 2x to each side

4x+2x +11 = -2x+2x -1

6x +11 = -1

Subtract 11 from each side

6x+11-11=-1-11

6x = -12

Divide each side by 6

6x/6 = -12/6

x = -2

Now we need to find y

y = -2x-1

y = -2(-2)-1

   =4-1

   =3

The Hernandez family is evenly splitting
7
liters of gasoline between their
4 cars.
How many liters of gasoline should each car get?

Answers

7 divided by 4 is 1.75

Answer:

1.75 liters

Step-by-step explanation:

7/4 = 1¾ or 1.75 liters

What integers are plotted on the number line below?


Answers

Hey there!

We can see on this number line that each tick mark represents one because every five marks, there is a difference of five.

Two marks to the left of 0 will be 0 minus 2, so -2.

Three marks to the left of -5 will be -5 minus 3, so -8.

Your answer is -8 and -2.

Hope this helps!

Final answer:

The integers that are being referred to are -8 and -2, which are negative whole numbers located on the left side of zero on a number line.

Explanation:

When plotted on the number line, integers represent whole numbers that can be positive, negative, or zero.

To identify the integers that are plotted, one would look for distinct marks or points on the number line that correspond to whole numbers.

Based on the data, we come to the conclusion that the numbers in question are -8 and -2.

The integers plotted on the number line are -8 and -2. The integer -8 is to the left of -2 on the number line.

These two numbers are examples of negative integers, which are located to the left of zero on a standard number line. The understanding of how to read a number line and identify the placement of integers is a key concept in mathematics, which allows for better comprehension of more complex mathematical ideas such as rational numbers, real numbers, and complex numbers.

4. There are 25,920 beds in all the hospitals in the region. This year, the construction of 13
hospitals will be finished and each hospital will provide 268 beds. At the end of 2018, there
will be about _______ beds available.
a. 29,400 b. 31,500 c. 36,200

Answers

Answer:

At the end of 2018 there will be about 29,400 beds Available.

Thank You ☺️ ☺️.

Make It Brainlist Answer...

Answer:

Option a: 29400

Step-by-step explanation:

13 Hospitals with 268 beds each means a bed total of

13*268 = 3484 beds

With the region having 25920 beds formerly, new bed total will be

25920+3484 = 29404

29400 to the nearest hundredth

Need answer has soon has possible

Answers

To solve this, all we need to do is find the square root of the numerator and denominator in the fraction

When you see a giant root symbol, picture it like this ....

[tex]\frac{\sqrt{25} }{\sqrt{64} }[/tex]

So, let's solve!

√25 = 5

and

√64 = 8

Now, we have ...

[tex]\frac{5}{8}[/tex]    as our final answer :)

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

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