Terry is drawing isosceles triangles with side lengths a, b, and c such that
a = y − x
b = x + z
c = y − z
Where x, y, and z are positive integers and x + y + z < 10.
Find all the possible triples (a, b, c) that satisfy this.

Answers

Answer 1

9514 1404 393

Answer:

{2, 2, 2}, {2, 3, 3}, {2, 4, 4}, {3, 2, 3}, {3, 3, 2}, {3, 3, 4}, {3, 4, 3}, {4, 2, 4}, {4, 3, 3}, {4, 4, 2}, {5, 2, 5}, {6, 2, 6}

Step-by-step explanation:

The requirement that side lengths be greater than 0 means that ...

  y > x > 0

  y > z > 0

Then possible values for x and z are 1, 2, 3, and possible values for y are 3, 4, 5, 6, 7.

When we list the possibilities, and exclude those that do not give isosceles triangles, we find the values of {a, b, c} can be those listed above.


Related Questions

a baker bought 12 pounds of flour he used 5/8 of the flour how many pounds of flour are left

Answers

the answer is 4.5 pounds

the sum of three consecutive odd numbers is 57. Find the product of the numbers. ​

Answers

Answer:

17, 19, 21. Hope this helps.

Brian purchased 4 items that were $1.00 each. The sales tax rate is 5.5%. How much was Brian's total bill including sales tax?

Answers

The answer will be $4.22

help me find p.....​

Answers

Answer:

the angle size in an nonagon is 140°

Step-by-step explanation:

5. Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? Explain your reasoning?

Answers

Answer:

andre

Step-by-step explanation:

there is 100 cm in a meter. So diego would be 1.65 meters

Answer:

Andre

Step-by-step explanation:

1.7 meters is 170 centimeters because 1 cm is 100 meters. 165 centimeters is less than 170 meters,so Andre is taller.

A chess club with 40 members is electing a new president. Dale received 12 votes. What percentage of the club members voted for Dale?

Answers

Answer:

30%

Step-by-step explanation:

Since you want the find the percentage of members who voted for Dale you want to do

12/40= 0.3 or 30%

Joy is helping her father to build a rectangular deck that measures 14 ft by 19 ft.
Find the area of the deck.

Answers

14 multiplied by 9 is 126
The answer is 126ft

A triangle has 2 angles that each measure 83°. What kind of triangle is it? A. equiangular triangle B. right triangle C. obtuse triangle D. isosceles triangle

Answers

Answer:

D. isosceles triangle

Step-by-step explanation:

The two angles are equal but the third angle will not be. Therefore, a triangle with two equal angles and one not is isosceles.


The formula used to convert Fahrenheit (°F ) to Celsius (°C
5(F - 32) : 9
Which represents the Celsius conversion of 77af?
19°C
O 25°C
O 109°C

Answers

Answer:

25°C

Explanation:

My mom uses Celsius and she told me, even though I was still doing the math-

how many yards are in the perimeter of a square that measures 99 inchs on each side?

Answers

She needs 11 yards on each side

A park is rectangular with a length of 23 miles. If the area of the park is 12 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

12/23

Step-by-step explanation:

Area = length x width

Width = area ÷ length

12 ÷ 23 = 0.5217

Or in fraction form: 12/23

Answer:

The area for a rectangle is calculated by multiplying its length and width. You are given the area and one side, so you can set up an equation and solve for the other side.

Step-by-step explanation:

A = 12 sq. mi.

L = 23 mi.

W = ?

A = L x W, so 12 = 23 x W

Solve for W by dividing both sides by 23.

W = 12/23 mi.

You can't reduce that fraction any further.

Just as a side note, the answer tells us that the park is long and narrow. It is 23 miles long, but just over half a mile wide.

A police officer drives 191 miles in 152 minutes. What is the officer's average speed in miles per hour?

Answers

Answer: I think I would be about 1.323 miles per Hour

Step-by-step explanation:

How is 400, 000 + 8000 + 500 + 6 written in standard form ?

Answers

Answer:

408,506

Step-by-step explanation:

Answer:

408,506

UwU

hope this helps

please help,, will mark brainliest!!

Answers

Answer:

87 degrees

Step-by-step explanation:

because 87 and 2 are diagonal and they are going to be the same. :)

Answer:

87%

Step-by-step explanation:

Solve for the -2(3)+12

Answers

Hey the the answer for -2(3)+12=6

The radius of an airplane propeller is 24 inches. What is the circumference of the propeller?​

Answers

Answer:

48π

Step-by-step explanation:

the circumference is dπ and the diameter is 2 of the radius

Answer:

48

Step-by-step explanation:

solve this fast! ill give brainliest and a thank you and 5 stars

Answers

Answer: now i hav to walk my fish

1 -20

2. 200

3. -6

4. 5

5. -60

6. 45

Step-by-step explanation:

How to walk fish um u see go scuba diving in mariana trench then u find fish (hint) avoid kraken and megaladon or tell them corpse jr sent u. the put leash on fish boom u walked him (another hint) bring extra oxygen tanks u will run out then u die, to leave the kraken throws u out of water and to ur home.

- me

toodles


What is the perimeter of the rectangle?
A 30 cm
B. 60 cm
C. 200 cm
D. 400 cm

Answers

Answer:

60 cm

B.)60 cm

Answer:

B: 60 cm

Step-by-step explanation:

Because the perimeter you have to add all sides

so it would be 20+10+20+10 = 60

A fruit stand sells 2 oranges for two dollars and fifty cents.
What is the unit price for each orange?

Answers

Answer:

the answer would have to be 1.25

Step-by-step explanation:

Answer:

1 orange= $1.25

2 oranges= $2.50

Latrell took one of his friends out to lunch. The lunches cost $60 and he paid 5% sales tax. If Latrell left a 15% tip on the $60, how much in total did he pay?

Answers

Answer:

$72

Step-by-step explanation:

Cost of the lunch = $60

Sales tax = 5% of $60

= 5/100 × 60

= 0.05 × 60

= $3

Tip = 15% of $60

= 15/100 × 60

= 0.15 × 60

= $9

how much in total did he pay?

Total amount paid = cost of the lunch + sales tax + tip

= $60 + $3 + $9

= $72

Latrell paid $72 in total for the lunch

F(x) = (3x - 2)/6 which of the following is the inverse of F(x) ? O A O B. F ^ 1 * (x) = (6x + 2)/3 F ^ - 1 * (x) = (2x - 3)/6 F ^ 1 * (x) = (6x - 2)/3 F ^ - 1 * (x) = (2x + 3)/6 O D.

NEED THIS ASAP!!​

Answers

Answer:

A

Step-by-step explanation:

The inverse of the given function is (6x + 2)/3.

What is the inverse of a function?

"The inverse of a function is a function that undoes the operation of that function. The inverse of a function exists if and only if the function is bijective"

Given function is

F(x) = (3x - 2)/6

⇒ y = (3x - 2)/6

If we write 'x' instead of 'y' and 'y' instead of 'x', then we get:

x = (3y - 2)/6

⇒ 6x = (3y - 2)

⇒ 3y = 6x + 2

⇒ y = (6x + 2)/3

Therefore, F⁻¹ (x) = (6x + 2)/3

Learn more about the inverse of a function here:https://brainly.com/question/16959154

#SPJ3

Someone help pleaseeee

Answers

Answer: 3/4

Step-by-step explanation: evalute the exponet which is 36 add the numbers then evalute again the mutiply then divide.

3x^2 - 8 = 67
Solve for X

Answers

Answer:

x=5

Step-by-step explanation:

3x^2=75

x^2=25

x=5

What is the value of tan A?


A: 6/8

B: 6/10

C: 8/6

Answers

Answer:

A: 6/8

General Formulas and Concepts:

Trigonometry

tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

opposite leg of ∠A = 6 cm

adjacent leg of ∠A = 8 cm

Step 2: Write ratio

tanA = 6 cm/8 cm

tanA = 6/8

Answer:

its A

Step-by-step explanation:

I just took the test


A rectangle has a length of 2 meters and a width of 40 centimeters. what is
the perimeter of the rectangle?

Answers

I believe it would be 480 cm or 4 m and 80 cm.

HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

c. 12

Step-by-step explanation:

Help please!ill give brainliest

Answers

Answer:

seirously I don't know if that's an "x" or a multiplication sign

Step-by-step explanation:

[3² x(189/9)]-32

9. 21x - 32

189x - 32

x = 189/32

x = 5.29/32

[3² x(189/9)]-32

9x21-32

189-32

157

HELP ASAP!!! please, I need help

Answers

Your answer would be be subtract 3

hope it helps

Subtract by 3


Hope that
Helped u

A total of 20 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars were minivans. How many minivans were washed?

Answers

Answer:

14 minivans

Step-by-step explanation:

From the question

A total of 20 families participate in a car wash. Each family brings two cars.

Hence, the total number of cars brought to the car wash is:

20 × 2

= 40 cars.

Mr. Gonzales notices that 35% of the cars were minivans.

The number of minivans were washed is :

35% of the total number of cars

= 35/100 × 40

= 14 minivans

Hence, 14 minivans were washed

Please Help I’m in a test!!!!!
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
(A) 0
(B) 1/8
(C) 2
(D) undefined

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinates didn't change so the line is vertical and vertical lines have undefined slope

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