How many isosceles triangles with whole-number length sides have a perimeter of 20 units?

Answers

Answer 1

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles


Related Questions

on a recent homework assignment, Eli needed to solve the equation d^2 = 49. He icorrectly wrote g = -7

Answers

Answer:

The solution set is  {-7, 7}.

Step-by-step explanation:

He was half right .There are 2 solution d = -7 and d = 7.

A moving company’s moving rates can be represented by the function f(x) = 3x + 400, where x is the number of miles for the move.

Another moving company’s rates can be represented by the function g(x) = 5x + 200.

Which function represents the difference between the moving companies' rates, h(x) = f(x) – g(x)?

A) h(x) = 2x + 200
B) h(x) = –2x + 200
C) h(x) = 5x – 200
D) h(x) = 5x + 600

Answers

Answer:

B) h(x) = –2x + 200

Step-by-step explanation:

f(x) = 3x + 400

g(x) = 5x + 200

f(x) - g(x) = 3x + 400 - (5x + 200) = -2x + 200

-2x to 100 is the answer

r +(-5)
Combine the like terms to create an equivalent expression ​

Answers

R-5 is the answer hope this helps

Factorise
х²- Чx - 21+1oy-y²​

Answers

Answer:

You might want to retype your question correctly for maximum understanding and subsequent help

How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two

Answers

Answer:

E (The product of seven and the difference of b minus two)

Step-by-step explanation:

Help time limit

A car leaving A stop sign accelerates constantly from a speed of 0 ft./s to reach a speed of 44 ft./s. The distance of the car from the stop sign, d, in feet, at a time t, in seconds, can be found using the equation d=1.1t to the second power.

What is the average speed of the car, in feet per second, between t=2 and t=5

Answers

I got 7.7 , I’m not sure

The measure of one of the acute angles in a right triangle is 59°.

What is the measure of the other acute angle?

Answers

Answer:

31*

Step-by-step explanation:

right triangle means 90* so 90*-59* = 31*

Answer:

31 degrees

Step-by-step explanation:

what is 2/5 x 4 help me please

Answers

Answer: 1.6

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

2/5×4

=8/5

=1.6

So the answer is 1.6

0.0833333333333333333333333333 as a fraction?

Answers

Answer:

1/12

Step-by-step explanation:

Convert to a simplified fraction.

Answer:

83/1000

Step-by-step explanation:

192=3943

What are the solutions?
| x1 = 10
X = ?

Answers

X=10 it has to be cause i mean 1x10 is 10 so yea

Answer:

10

Step-by-step explanation:

The X is 10

WORTH 50 POINTS NEED HELP ASAP

Answers

Answer:

-10, -1, 5

Step-by-step explanation:

To find the zeros of a function, you have to set each factor to zero in equations, then solve for x ....

x + 10 = 0 ... then factor 10 over (subtract 10 from each side) ...

x = -10

x-5=0

then repeat (add 5 to both sides) (and subtract 1 from both sides) ...

x -5 = 0 to x = 5

x + 1 = 0 to x = -1

hope this helps!! tell me if it  doesnt  make sense and i can help you!! also if it is right can i have brainliest :) no worries though happy to help

Ini bagaimana ya caranya
Bantu caranya

Answers

Answer:

Aku enga isa lihat, isa kan kamu bilangin di koment apa itu, terimakasi

Step-by-step explanation:

a construction crew has just built a new road. they worked for 4 weeks. they built the road at a rate of 10.24 kilometers per week. how many kilometers of road did they build?

Answers

40.96 kilometers

4 x 10.24 = 40.96

Which of the following tables can be generated from the equation y = 2x + 1?

a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...

Answers

Answer:

Step-by-step explanation:

the tables can be gererated by placing the x and y values on the equation

Answer:

I believe the answer is B but not for sure  

Step-by-step explanation:

20 POINTS WILL MARK BRAINLIEST plz help me very simple

Answers

Answer:

£ 2.38

Step-by-step explanation:

Cost of 2.5 kg potatoes = £ 1.40

Cost of 1 kg potatoes = [tex]\frac{1.40}{2.5}\\[/tex]

Cost of 4.25 kg potatoes = [tex]\frac{1.40}{2.5}*4.25\\\\[/tex]

                                         =  1.40 * 1.7

                                        = £ 2.38

                                         

just points for whomever help me ​

Answers

Answer:

with what do you need help with your life

Step-by-step explanation:

What is the solution for -3x ≥ 36?

Answers

Answer:

x ≤ -12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-3x ≥ 36

Step 2: Solve for x

Divide both sides by -3:                    x ≤ -12

Here we see that any number smaller than or equal to -12 would work as a solution.

Kcfjvfjjfjv bsdhkncd hub Chi

can someone please help me .. will mark brainliest !

Answers

Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

1. The aspect ratio of a display is the proportional relationship between the width of a
display and its height. In 2012, 16 : 9 became the most common aspect ratio for
computer displays. If the width of a large screen television is 90 inches, what is
the height using this aspect ratio, to the nearest inch?

A 51 inches
B 71 inches
C 97 inches
D 160 inches​

Answers

Answer:160 inches

Step-by-step explanation: it cant be less som wer left with 97 and 160 97 is not 16:9

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)

Answers

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15

Will give brainliest.

Answers

Y=2x-4 is the correct slope intercept form answer.

Subtracting Fractions what is 1 2/3-2 1/3?

Answers

Answer:

-2/3

Step-by-step explanation:

1 2/3 becomes 5/3. 2 1/3 becomes 7/3 5/3-7/3= -2/3

One electrician charges a $50 service call fee plus $25 per hour for labor. Another electrician charges a $35 service call fee plus $27.50 per
hour for labor. How long would a job take if the total cost for each electrician is the same?
A.5 hours
B.6hours
C.7 hours
D.8 hours

Answers

Answer:

c. 6 hour

Step-by-step explanation:

time = t

25t + 50 = 27.50t + 35

solve for t : 25t + 50 = 27.5t +35

27.5t + 35 = (55t) /2 + 35 : 25t + 50 = (55t) /2 + 35

subtract (55t) /2 + 50 from bot side : -(5t) /2 = -15

multiply both side by -2/5: t = 6 hours

PIC below plz answer...

Answers

Answer:

The last answer choice

Step-by-step explanation:

Bc your able to multiply each number in the parenthesis

the first option should be it hope this helps :)

Which angles are alternate interior angles?

Answers

Answer:

Angle QPM and Angle LMP are alternate interior I'm pretty sure, so I think B or  second choice.

Answer:

QPM and OPM

Step-by-step explanation:

I picked those two because those are the only angles that look weird



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer

follow the steps

Step-by-step explanation:

y2 - y1 over x1 - x2. get your slope and do y= mx+b. then youll get your equation once you find the intercept.

HELP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O -3
O -3/4
O 3/4
O None of the above

Answers

None of the above
It is -4/3

Answer:

none of the above

Step-by-step explanation:

the slope is: rise/run which equals y/x which equals -4/3

What is the gcf of 51 and 3

Answers

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

• With money, you often round to the nearest dollar.
• If the number of cents is 50¢ or more, round up.
$0.00
$0.50
$1.00
• If the number of cents less than 50¢, round down.
$7.35 rounded to the nearest dollar is $7.00.
$24.86 rounded to the nearest dollar is $25.00.
6. Round to the nearest dollar.
a) $5.48
b) $2.97
c) $0.85
f) $14.98
d) $9.99
e) $1.29
+

Answers

a) $5.48  = $5.00

b) $2.97  = $3.00

c) $0.85  = $1.00

f) $14.98  = $15.00

d) $9.99  = $10.00

e) $1.29 = $1.00

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