triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.
[tex]a^{2} +b^{2} =c^{2} \\8^{2} +17^{2} =15^{2} \\64+289=225\\353\neq 225[/tex]

What mistake did Sofia make?

A Sofia made a calculation error.
B Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.
C Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.
D Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.

Answers

Answer 1

Answer: Its b.

Step-by-step explanation: The hypothenuse is the biggest number and the leg is the two shortest numbers.


Related Questions

what is food...................................

Answers

Answer:

Any solid substance that can be consumed by living organisms, especially by eating , in order to sustain life is food.

Step-by-step explanation:

A box of chocolates costs $6.39. Debra bought 8 boxes. How much did she spend?
PLEASEE HELP

Answers

ummmmm she spent 51.12 dollars for 8boxes
$51.12 , 6.39x the amount bought (8)

help me please༼ つ ◕_◕ ༽つ

The value of x is ___, and the value of y is ___.

Answers

Answer:

I think x is 60 and y is 50.

Step-by-step explanation:

70 + 50 = 120

180 - 120 = 60

x = 60

50 + 50 = 100

70 + 60 = 130

130 + 100 = 230

230 - 180 = 50

y = 50

I hope this helps u! :D

Answer:

x=60 y=50

Step-by-step explanation:

180 is equal to the whole triangle so 50+70=120 and 180-120= 60

the other triangle has a missing value by doing the same thing before we can figure out that the missing value is 70. 70+x which is 60 equals 130. A straight line is equal to 180 so 180-130= 50.

Hope I could help!

Please help if you would like brianleist (correct answers) ^°^ Tyyy •√•

Answers

A = 86.625
U simply multiply base x height then multiply that by 3.5

Answer:

86.625 in³

Steps:

V = 5.5 × 4.5 × 3.5

V = 86.625 in³

Would be great if someone could solve this for me I’m not too sure how to do it .

Answers

I think the answer is

Find the mistake(s) in the problem below. Correct the mistake to find the correct area.
The radius of a circle is 53 mm.
r=53
53 divided by 2=26.5
d=26.5
A=3x26.5 squared
A=79.5
The area of the circle is79.5mm

Answers

Answer:

QFQF

Step-by-step explanation:

FAFAF

Last year you drove your car 11,452 miles. You kept track of all your expenses for the year. Your fixed cost (insurance, license amd registration, depreciation) totaled $2,578 and your variable expenses ( gas, oil changes, repairs, tires) totaled $1,927. What was your cost per mile to operate your car?​

Answers

.39 per mile was the cost to operate your car

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

what am i sopposed to do?

Step-by-step explanation:

Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2

Answers

Answer:

(2,-2)

Step-by-step explanation:

this is URGENT BESTIES

Answers

Answer:

675 [tex]ft^2[/tex]

Step-by-step explanation:

The radius is 15, so replace r in the formula with 15

[tex]A=\pi 15^2[/tex]

A = 225 pi

A = 675

(using 3 for pi, since they specified)

Answer: 675

Step-by-step explanation:

Approximately students attend Jones Middle School. Below is the data collected from two random samples of students regarding school lunch preference. ​ ​Which of the following inferences can be made based on the data collected? Select all that apply.

Answers

Answer:

there is nothing to select. u need to provide more info

Mary’s parents planted a garden that was 4 feet long and 5 1/2 feet wide. Lisa’s parents planted a garden that was 24 feet long and 5 1/2 feet wide. How many times larger is the area of Lisa’s garden?
A. 3 times larger
B. 6 times larger
C. They are equal
D. 20 times larger

Answers

Answer:

6 TIMES LARGER

Step-by-step explanation:

4 by 5.5 which is 22 and 24 by 5.5 which is 132 divide 132 by 22 to get your answer

Answer:6 time larger

Step-by-step explanation:

PLEASE HELP

Write the equation that models the linear relationship.

The equation ____ models the linear relationship

(Use integers or tractions for any numbers in the
equation)

Answers

y= -3x -5 should be the answer

the diameter or a circle is 2 yards. What is the circles circumference
use 3.14 for π​

Answers

Answer:

diameter = 6.28 yards

Step-by-step explanation:

2 x 3.14 = 6.28

Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*

Answers

Answer:

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Step-by-step explanation:

Given

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]

[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]

[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Convert each list item to decimal

[tex]1.94 * 10 ^-5 = 0.0000194[/tex]

[tex]1.25 *10 ^-2 = 0.0125[/tex]

[tex]6 *10^{4} = 60000[/tex]

[tex]8.1 *10^{4} = 81000[/tex]

The list is in ascending order because:

[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]

No need to test other options

A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?

Answers

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

-18 < 9x

Solve for x ...

Answers

Answer:

x= -2

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

Help please!!!!!!!!!!!!

Answers

Answer:

The order is :

1. Ruth

2. Alice

3. Debra

4 Lisa

Step-by-step explanation:

I hope that is useful for you :)

The mean and the average are the same number

Answers

if ur asking if it’s true, then yes it is

A rectangular prism has a volume of 750 cubic millimeters. Its length is 15 millimeters, and its width is 10 millimeters. What is its height?

50 mm
5 mm
6 mm
60 mm

Answers

Answer:

5mm

Step-by-step explanation:

The answer is 5mm I think

what is 18k+3

asking for a friend

k as in the letter not 18,000

Answers

factor 3 out of 18k+3.

3(6k+1)

Please answerrrrrrrrrr pleaseeeeeeee

Answers

Answer:

[tex]\Huge\boxed{x=53}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to use trigonometry to solve for X

Here are the Trigonometric Ratios:

Sin = Opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = Opposite divided by adjacent

We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos

Remember cos = adjacent divided by hypotenuse

Now we create an equation

[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]

now we have

[tex]cos(x)=.6[/tex]

like always we want to get rid of cos

to do so we take the inverse of cos (arccos^-1) and apply that to each side

[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]

finally we round to the nearest degree

we're left with x = 53

2 numbers a and b vary directly if ab =k, k is a constant is it correct​

Answers

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

This figure shows right triangles drawn inside of a rectangle

Answers

Answer:

Sin p=Cos v

Cos k=Sin r

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement.

The cosine of an angle is equal to the sine of its complement.

Ethan hits 4 ringers in 10 attempts while throwing horseshoes. What does an experimental probability of 2/5 describe?
Your answer:
O P (horseshoes)
O P (missed shots)
O P (attempts)
O P (ringers)

Answers

Answer: P (ringers)

Step-by-step explanation:

This probability is simplified from 4/10 to 2/5

Since he got 4 ringers out of 10 attempts

we can tell that this probability stands for Ringers

4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?

Answers

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

The downtown trolly travels around town on a rectangular route stopping at 4 different tourist destinations if the length of the rought was 5.5 miles and the with was 4 miels how far is one complete trip anser

Answers

Answer:

19 miles

Step-by-step explanation:

Given that :

Shape of route is rectangular :

Length of route = 5.5 miles

Width of route = 4 miles

Distance of one complete trip = perimeter of the rectangular route :

Perimeter of a rectangle :

P = 2(length + Width)

P = 2(5.5 + 4)

P = 2(9.5)

P = 19 miles

Hence one complete trip is 19 miles long.

Please just give me the answer to this question, I’m so lazy haha the Pablo one thank you!

Answers

Answer:

I would say its 640 seconds sorry if I'm wrong

pls help me out!!! ((#4))

Answers

Pythagorean Therom
a^2 + b^2 = c^2
5^2 +b^2 = 7^2
25=b^2 = 49

49-25=b^2

49-25=14

b^2=24

b=sqrt24

sqrt24=4.89898

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!

Answers

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.

Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]

[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]

Put [tex]x=5[/tex] in [tex]4x+6[/tex]

[tex]4x+6=4(5)+6=20+6=26[/tex]

Therefore,

[tex]2(2x+3)=4x+6[/tex]

Yes, the same answer is obtained.

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