MATHEMATICS MIDDLE SCHOOL

Which set of numbers could represent the lengths of sides of a right triangle? A) 7, 9, 11 B) 10, 15, 20 C) 12, 18, 22 D) 8, 15, 17

Answers

Answer 1

Answer:

Hello from MrBillDoesMath!

Answer: D

In a right (angle) triangle with sides a,b, c, the Pythagorean that gives us that

a^2 + b^2 = c^2. Let go through the 4 cases presented in the problem>

A) Does 7^2 + 9^2 = 11 ^2. That is, does 49 + 81 = 121 ? Nope so these sides do not form a right triangle.

B) Does 10^2 + 15^2 = 20^2. That is, does 100 + 225 = 400 ? Nope so these sides do not form a right triangle

C) Does 12^2 + 18^2 = 22^2. That is, does 144 + 324 = 484 ? Nope, so these sides do not form a right triangle.

D) Does 8^2 + 15^2 = 17^2 ? That is, does 64 + 225 = 289. YES, so these sides can form a right triangle.

Regards, MrB.

Related Questions

What is the supplement of a 76 degree angle?
Write the values in the order from least to greatest. |-2| |3| |-6| |1|
Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change
SOLVING SYSTEMS OF EQUASIONS BY ELIMINATION. -4x-2y=-12 4x+8y=-24
Choose the correct simplification of the expression (4a^4b)^2.

Tanika took a test that had 20 multiple- choice questions and 10 true/false questions. she got 9/10 of the multiple choice questions correct and she got 4/5 of the true/falsequestions coorect.
how many multiple- choices questions did tanika get correct

Answers

this is a ratio based problem.
knowing that there are 20 mc questions and she got 9/10 of them right, we can solve the problem by getting the equivalent fraction that has the same denominator as the total number of mc questions ( in this case,20)

multiplying 9/10 by 2/2, we get 18/20 and that's the answer

She got 19 answers correct.

Last week, Tasha bought 17 pounds of fruitat the grocery store. She bought apples,
oranges, and bananas. If 8 pounds were
apples and 3 pounds were bananas, how
many pounds of oranges did Tasha buy?

Answers

Answer:

6 pounds

Step-by-step explanation:

8+3= 11 subtract 17 by 11 gives you 6 so 6 pounds Oranges

6 pounds of oranges- 8+3 is 11 so there’s only 6 left... 6 pounds ☺️

The length of a side of an equilateral triangle is x - 4.5. First express its perimeter as a sum. Next express its perimeter as a product. Explain why the two expressions are equivalent.

Answers

Equilateral triangle means all sides have equal length.
Perimeter
As a sum: (x-4.5)+(x-4.5)+(x-4.5)
As a product: 3 * (x-4.5)
They are equivalent because 3 times a number is just the sum of three of the number.

On a 4 1 2 hour trip, Leslie drove 2 3 of the time. For how many hours did Leslie drive?

Answers

Answer:

She drove 3 hours

Step-by-step explanation:

Leslie drove 2/3 of the 4 1/2 hours trip. To determine how long she drove, multiply these numbers together.

2/3 * 4 1/2

We need to change the second number to an improper fraction

4 1/2 = (2*4 +1)/2 = 9/2

2/3 * 9/2 = 9/3 = 3

She drove 3 hours

-x - 7y = 18
4x + 7y = -30
How can you order a ladder?

Answers

I can solve
add them equations

-x-7y=18
4x+7y=-30 +
3x+0y=-12

3x=-12
divide 3
x=-4
sub
-x-7y=18
-(-4)-7y=18
4-7y=18
minus 4
-7y=14
dividd e-7
y=-2

x=-4
y=-2
(-4,-2)

Samara buys a video game for $56.00 she also buys a book. The price of video game is 8 times as much as the price of the book. What is the price, in dollars, of the book?

Answers

the answer is $7.00 because 56.00/8=7.00.
Hope that helps.

The answer is $7.00 because 56÷8=7 and if the video game is 8x more costly than the book then you have to multiply 7, 8 times to get to the price of the video game.

Other Questions

Simplify (-b) * (-b)

Please help quickly!Which fraction has the same value as this expression?A. 5/16B. 5/4C. 5/8D. 5/2

If y varies jointly with x and z and y=13 when x=26 and z=6 find x when y=25 and z=18

Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelets. How many bracelets can sal make with 5 feet feet of yarn?