2)
Apply the Pythagorean Theorem to determine the correct statements.

A) If the sides of a right triangle are of length 8 and 15, its hypotenuse is 17.
B) If the sides of a right triangle are of length 7 and 24, its hypotenuse is 35.
C) If the sides of a right triangle are of length 9 and 40, its hypotenuse is 41.
D) If the sides of a right triangle are of length 21 and 28, its hypotenuse is 36.
E) If the sides of a right triangle are of length 12 and 16, its hypotenuse is 20.

Answers

Answer 1

Answer:

A, C, and E are true.

Step-by-step explanation:

These are all done the same way.

Look at (A). If the statement is true, then 8² + 15² = 17², because the Pythagorean theorem says that if you square the lengths of the two shorter sides of a right angle, their sum will equal the square of the longest side: a² + b² = c².

8² = 64.  15² = 225. So 8² + 15² = 64 + 225 = 289.

So if the statement is true, then 289 = 17².

And yes 17² = 289, so the statement is true.

On the other hand, (B) is false. 7² + 24² = 49 + 576 = 625

But the third side squared, 35² = 1225, not 625.


Related Questions

TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can

Answers

Step-by-step explanation:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *

Your answer

State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *

Your answer

State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning

Harley solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.

Answers

Answer:

heyy i would help you but you didnt include the equation:)

Given g(x) = 3x + 14 , find x if g(x) = 20

Answers

Answer: x = 2

Step-by-step explanation: If g(x) = 3x + 14, and g(x) = 20 also, you first can set 3x+14 = 20. To find the value of x, you want to isolate the variable. You can subtract 14 from both sides to get 3x = 6. Finally, to find out the value of x, divide 3 from both sides. This leaves you with x = 2. You can check this by plugging two back into the original equation 3 times 2 = 6, and 6 plus 14 equals 20.

please help me!!!!!!​

Answers

y = 2x - 5

This equation intersects at the same y and x intercepts as the green line shown on the graph.
i cant stop playing this game on mama mommy mama
yyyyy said i had to

What is the equation of the line shown in the graph?

Answers

Answer:it would be y=2x+3

Step-by-step explanation:

If you find the slope of 2 over and 1 up it is a positive slope of 2 and then the slope is always _x so it’s 2x + the y intercept which is 3 and the y intercept is just the cordon are where x=0

If C = x + 6 and D = 3x - 6 + 4x2, find an expression that equals C + 3D in
standard form.
Help please

Answers

Answer:

12x²+10x-12

Step-by-step explanation:

x+6 + 3(3x-6+4x²)

x+6 +9x-18+12x²

12x²+10x-12

Need help with number 4 please due today

Answers

Answer:

#4 is not a function because not every x-value corresponds with only one y-value

Step-by-step explanation:

PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!​

Answers

7.) yes 8.) no 9.) yes 10.) yes 11.) yes 12.) no 13.) no 14.) no 15.) yes I think

In parallelogram ABCD, LA = 120°. What is AD?
O80°
O 120°
O60°

Answers

angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°

y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answers

Write it well, I don't understand

A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)

Answers

12*5=60
12*48=576
576/128=4.5
4.5 gallons

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,

Rate = 48 / 5 fl oz per minute

We know that 1 gal = 128 fl oz, then we have

Rate = (48 / 128) / (5 / 60)

Rate = (48 x 60) / (128 x 5)

Rate = 2880 / 640

Rate = 4.5 gallons per hour

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

What is the square root of x to the 10 power

Answers

Answer:

x^5

Step-by-step explanation:

Write down the exact value of:
a) cos 90
b) sin 90
c) tan 0

Answers

Answer:

The exact value of

cos90 is 0

sin90 is 1

tan90 is indeterminate.

Answer:

[tex] \cos(90) = 0 \\ \sin(90) = 1 \\ \tan(0) = 0[/tex]

Rewrite the system of equations in slope intercept form

Y - 5 = -4x
3y - 9 = -6x

The slope-intercept form of the first equation is _______

The slope intercept form of the second equation is _______

Answers

Answer:

✔ y = –4x + 5

 

✔ y = –2x + 3

Step-by-step explanation:

We can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

What is the general equation of a Straight line?

The general equation of a straight line in slope intercept form -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                  {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}x/a + y/b = 1                                         {intercept form}x cos(β) + y sin(β) = L                          {Normal form}

We have the given system of equations as -

y - 5 = - 4x

3y - 9 = - 6x

The given system of equations is -

y - 5 = - 4x

3y - 9 = - 6x

Now -

y - 5 = - 4x

y = - 4x + 5

and

3y - 9 = - 6x

3y = - 6x + 9

y = (-6/3)x + (9/3)

y = - 2x + 3

So, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.

The slope intercept form of the second equation is y = - 2x + 3.

Therefore, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

what is -7/5 rounded to the nearest tenth?

Answers

Answer:

-1.4

Step-by-step explanation:

-7/5 = -1.4

If you have 2 litres of white paint and plenty of other colours, can you make 55 litres of pale purple paint?

Answers

ok so I did this a while ago and i remember it and i said “no” and i got it right so i hope i helped
I would say no. The problem does not state how much of the other colors you have, which would make Calculations difficult.

Urgent please!!! I really don’t understand it, tysm to anyone who can answer thissss :))))

Answers

Given:

The frequency distribution table.

To find:

The mean average score on a test.

Solution:

The frequency distribution table is

[tex]Marks (x_i)[/tex]                   [tex]Frequency(f_i)[/tex]                  [tex]f_ix_i[/tex]

     x                                     a                               xa

     y                                     b                               yb

     z                                     c                               zc

  Sum                              a+b+c                          xa+yb+zc

Now, the mean average score on the test is

[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]

[tex]Mean=\dfrac{xa+yb+zc}{a+b+c}[/tex]

Therefore, the mean average score on the test is [tex]\dfrac{xa+yb+zc}{a+b+c}[/tex].

A triangle has one side measuring 5 feet and two sides measuring 7 feet. What kind of
triangle is it?
equilateral
isosceles but not equilateral
scalene

Answers

Answer:

isoceles but not equilateral

Step-by-step explanation:

it has two sides that are the same length, but not all three sides are the same length

An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal

Solve
n + 11 = -2
How do i solve this

Answers

n+11=-2
-11 -11
n=-13
i think


12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set

13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2

14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these

15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5​

Answers

Answer:

1) D

2)A

3)D

4)A

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

I hope I can help you

Step-by-step explanation:

I hope I can help you

I NEED HELPPPPP. SOMEONE ANSWER THISSSS

Answers

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

The answer is Y= 415 X

Explanation

>

Jess was drawing a map of her neighborhood. What is the measure of the angle of the intersection between Derby

Drive and Rosemont?

>

Academy

(3x + 15°

Rosemont

ogle Play

1030

(x + 10)

Derby Drive

13

23

54

ENG 12:13 AM

INTL 2/3/2021

Answers

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

The average of Aaron's three test scores must be at least
93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron
get on his third test to guarantee an A in the class? (The
highest possible score is 100.)

Answers

Answer:

96

Step-by-step explanation:

Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5

Answers

y=0.8x
ummm i think so. yea because y is only going to x ig

The amount of money in a bank account increased by 17.5 % 17.5% over one year. If the amount of money at the beginning of the year is represented by A A, which expression below represents the amount of money in the bank account after the increase?

Answers

Answer: 1.175A

Step-by-step explanation:

From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Solve using the substitution method
x = 8y - 4
x + 8y = 6
i will give brainliest and pls show work​

Answers

You are told x = 8y -4

Replace x in the second equation with 8y-4:

8y-4 + 8y = 6

Combine like terms:

16y-4 = 6

Add 4 to both sides:

16y = 10

Divide both sides by 16:

Y = 10/16

Simplify:

Y = 5/8

Now replace y with 5/8 do find x:

X = 8(5/8) -4 = 5-4 = 1

X = 1, y = 5/8

(1,5/8)

Need help on this... First one to answer this correctly, I will give you a BRANLIST​

Answers

Answer:

wheres the problem?

Step-by-step explanation:

A test has multiple choice questions worth 2 points and short answer questions worth 3 points. There are 45 points on the test. Write an equation in standard form that represents this situation using the
variables x and y
Help plz

Answers

2x+3y=45

x represents multiple choice questions

y represents short answer

you can also write it as 3x+2y=45

in this case, x represents short answer questions and y represents multiple choice.

Simplify the expression (-6+3i)+(6+4i)

Answers

Answer:

7i

Explanation:

(-6 + 3i) + (6 + 4i)

-6 + 6 = 0

3i + 4i = 7i

7i
Answer:
7i

Explanation:

Simplifying is done by combining in this scenario by combining terms in the expression.

Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

Answers

Answer:

the answer would be 66 minutes

Answer:

66 minutes was correct for me

Step-by-step explanation:

math

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