triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the shortest side of triangle def if its perimeter is 60?

Answers

Answer 1

Answer:

The shortest sides is 12.5.

Step-by-step explanation:

5 + 8 + 11 = 24

60 / 24 = 2.5

So 2.5 * 5 = 12.5

Answer 2

The length of the shortest side of triangle DEF is 12.5 units.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Since triangle ABC is similar to triangle DEF, the ratio of the corresponding sides of the two triangles is the same.

Let x be the length of the shortest side of triangle DEF.

The length of the shortest side of triangle DEF, x, is in the same ratio to the length of the shortest side of triangle ABC, 5, as the other sides of triangle DEF are in relation to the other sides of triangle ABC.

The perimeter of triangle ABC is:5 + 8 + 11 = 24

The perimeter of triangle DEF is 60.

So 60 / 24 = 2.5

So the length of the shortest side: 2.5 x 5 = 12.5

Therefore, the length of the shortest side of triangle DEF is 12.5 units.

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Related Questions

jasons cutting a 2 2/5 meter string into sections that are 3/4. how many sections can he cut

Answers

Answer:

3 1/5

Step-by-step explanation:

Okay, this is a standard division problem, so our equation is:

2 2/5 ÷ 3/4

but then we have to covert the mixed number to an improper fraction:

12/5 ÷ 3/4

do the cross thingy:

4/5 x 4/1 = 16/5 = 3 1/5

So Jason can cut 3 1/5 sections or 3 if you round

A young sumo wrestler goes on a special diet to gain weight. The variable w models the wrestlers weight in km after the wrestler has been on a special diet for t months.
w=80+5.4t
How much weight does the wrestler gain every 2 months​

Answers

Answer:

10.8kg

Step-by-step explanation:

Before he was on the diet he already weighed 80 kilograms, so it is not important to determining how much weight we gains in two months.  Instead we need to focus on the 5.4t part of the equation.  t represents the number of months so we need to substitute 2 for t and you get

5.4t

5.4(2)

10.8kg

Answer:

10.8 kg

Step-by-step explanation:

Hope this helps!

what is the y-intercept from the point (0,7)

Answers

Answer:

7

Step-by-step explanation:

The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day​

Answers

Answer:

it is 4 C

Step-by-step explanation:

because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C

Acreage varies directly with the production in bushels of wheat produced.
In a 20-acre field, 300 bushels of wheat are produced. At this rate, how
many bushels will be produced in a 50-acre field?

Answers

Answer:

750 bushels

Step-by-step explanation: 20/300=50/b               b=bushels

cross multiply then you get 20b=15000

next you divide 20 by 15000 and you get 750 bushels!

i had the same question just now and figured it out! hope this helped you!

5/9 of the students in a group are male.
5/6 of the female students in the group are right-handed.
Find the smallest possible number of students in the group.
(2 marks)

Answers

Answer:

18

Step-by-step explanation:

18 is the smallest number that is wholly divisible by 9 and 6.

The smallest possible number of students in the group is 18.

Given that,

5 by 9 of the students in a group are male. 5 by 6 of the female students in the group are right-handed.

Based on the above information, we can say that 18 is the number that should be divisible by 9 and 6.

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Which of the following can NOT be written as an equation? *

A.Half the product of 8 and a number is 5
B.Two minus x plus three
C.Seven times p minus four is ten
D.Three is less than a number and six is four

Answers

Answer:

B.

Step-by-step explanation:

An equasion requires an equals sign (=) and B is the only choice written without one.

Hopefully this helps! ^^

a stockbroker charges customers $30 to open an account and $15 per month to manage the account. write an equation to represent the number of months, n, an account has been open if the total cost is $360​

Answers

30+15n=360 would be your answer

Two sides of a triangle measure 17 inches and 9 inches. Which cannot be the length of the remaining side?

Answers

Answer: B. 26

Step-by-step explanation:

The options are:

A. 21

B. 26

C. 9

D. 15

Let the third side of the triangle be x.

Since the two sides of a triangle measure 17 inches and 9 inches, therefore we can form a triangle inequality with the figures given. This would be:

x + 9 > 17

x > 17 - 9

x > 8

Also,

x < 9 + 17

x < 26

Therefore, 8 < x < 26

Therefore, the answer is 26.

Answer:

see below

Step-by-step explanation:

Right answer gets brainlist

Answers

Answer:

2309

Step-by-step explanation:

V = pi times radius^2 times height

Answer: 2309

⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀

Solving two-step inequalities is much like solving two-step equations. Use
inverse operations to
solve each of the following inequalities.
5x + 8.5 > - 10.3
2x - 10 < 80

Answers

Answer:

1) x>-3.76 2) x<45

Step-by-step explanation:

1) 5x+8.5>-10.3

Isolate the variable

Combine like terms/ subtract 8.5 from both sides

5x>-18.8

Divide by sides by 5

x>-3.76

Remember, if we were dividing or multiplying by a negative number, we would switch the inequality sign, but here we do not.

2) 2x-10<80

Isolate the variable

Combine like terms/ add 10 to both sides

2x<90

Divide both sides by 2

x<45

HELPP MEE PLEASEEEEEE

Answers

Answer:

wouldn't it be 5m....??

Non factorable with rational numbers

Help pls!! What is the segment of AC?

Answers

Answer:

It's an angle bisector

Step-by-step explanation:

It is between 2 congruent angles therefore bisects those angles

7 1/2 is equal to _____ in radical form?

Answers

Answer:

√ 7

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

7 1/2 in radical form is √15 / √2 x  √15 / √2.

To convert the mixed number 7 1/2 to radical form, we need to rewrite it as an improper fraction and then simplify.

First, let's convert the mixed number to an improper fraction:

7 1/2 = (2 x 7 + 1)/2 = 15/2

Next, we can represent 15/2 in radical form by taking the square root of the numerator and the denominator separately:

√(15/2)² = √15 / √2 x  √15 / √2

The square root of 15 cannot be simplified further, so we leave it as √15.

Therefore, 7 1/2 in radical form is √15 / √2 x  √15 / √2.

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Write an equation of the line with a slope of −3 and y-intercept of 0.

Answers

Answer:

y = -3x

Step-by-step explanation:

Substitute the numbers into the point-slope form equation:

y - 0 = -3(x - 0)

y = -3x

Your department manufacturers 2,150 thermostats in one work and 25 are defective and discarded how many theremostats did your department contribute to inventory for the work

Answers

Answer:

2125

Step-by-step explanation:

2150-25=2125

What type of equations could have extraneous solutions?

Answers

Answer:

id

Step-by-step explanation:

The square root equations could have extraneous solutions.

What is an extraneous solution?

An extraneous solution is a “false” solution to an equation. An extraneous solution does not satisfy the original equation, even though we took seemingly valid steps while solving the equation.

When we solve an equation with containing a radical expression, we have to isolate the radical on one side from all other terms and then square both sides of the equation.

When we square a radical equation we sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution.

Hence, the square root equations could have extraneous solutions.

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Directions: type the correct answer in each box. Use the numerals instead of words.

For this item, any answer that is not a whole number should be entered as a decimal, rounded to the hundredth.

A sporting good store is having a clearance ale on many of their items. Complete the table by finding the missing values for the following items

Item: soccer Jersey.
original price: $85.75.
Discount: 20%.
Sale price: $___

Item: tennis racket
Original price: $___
Discount: 55%
Sale price: $49.05

Item: Archery Set
Original price: $94.00
Discount: ___%
Sale price: $61.10

Answers

Answer:

Jersey: 85.75/100 X 80 = $68.60

Tennis Racket 55% = 49.05, 1%=0.89181818, 100% = 89.1818181 = $89.18

Archery = 94- 61.10 = 32.90, 32.90/94= 0.35

0.35 X 100 = 35%

If x = 4, what is y in: 3x + 4y = 20?

Answers

Answer:

y=2

Step-by-step explanation:

3x+4y=20

3*4+4y=20

12+4y=20

4y=20-12

4y=8

y=8/4

y=2

Step-by-step explanation:

The answer is 2, 3*4= 12 and 4*2=8. if you add both of them you get 20.

Help! I need help asap

Answers

Answer:

x = √53

Use the pythagorean theorem to solve for x, which would be c in the equation a^2 + b^2 = c^2.

(a and b are the sides that meet up in a right triangle, c is the hypotenuse. In this case, you are solving for the hypotenuse.)

Step-by-step explanation:

1. Plug in the numbers in the pythagorean theorem.

2^2 + 7^2 = c^2 (remember, each variable is squared)

2. Simplify.

4 + 49 = 53

Since each variable in the pythagorean theorem is squared, the side value would be √53.

Jose has six pieces of cardboard to make a triangle frame for a diorama. The lengths are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches. Which combination will form a triangle?

Answers

6 and 2 I think lol good luck

The  possible combination of sides of triangles is

(2 + 3) >4(3 + 4)> 5(5+ 6)>7What is Property of Triangle?

In a triangle, the third side must be greater than or equal to the sum of the other two sides. The length of a triangle's third side is always longer than the sum of any two of its sides.

Given sides are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches.

We know that the third side of a triangle is greater than sum of other two sides.

So, (2 + 3) >4

and, (3 + 4)> 5

and, (5+ 6)>7

Hence, the possible combination of sides of triangles is

(2 + 3) >4(3 + 4)> 5(5+ 6)>7

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This is algebra 2. Would like an answer ASAP. Thanks! Between the two chunks of numbers, thats a division sign, not an addition sign.

Answers

Answer:

Simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]

Option A is correct answer.

Step-by-step explanation:

We need to find simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]

Solving the given expression:

[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]

First we find factors of [tex]x^2+x-6[/tex]

[tex]x^2+x-6 \\= x^2+3x-2x-6\\= x(x+3)-2(x+3)\\=(x-2)(x+3)[/tex]

So, factors of [tex]x^2+x-6[/tex] are [tex](x-2)(x+3)[/tex]

Now, fining the factors of [tex]x^2+5x+4[/tex]

[tex]x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)[/tex]

So, factors of [tex]x^2+5x+4[/tex] are [tex](x+1)(x+4)\\[/tex]

Now the given expression will become:

[tex]\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}[/tex]

Now, converting division sign into multiplication sign:

[tex]=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}[/tex]

So, simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]

Option A is correct answer.

8. Divide: (6x² - 4x)+2x
A. 3x - 4x
B. 3x - 2x
C. 6x-2
D. 3x - 2​

Answers

Answer:

3x-2

Step-by-step explanation:

I think you meant (6x^2-4x) divided by 2x

if it isn't then pls comment what you meant

Help! 15 points + brainliest!

Answers

Answer:

1 1/4

Step-by-step explanation:

The tallest flower is 2 1/2 the shortest is 1 1/4

Subtract those

2 1/2 = 2 2/4

2 2/4 - 1 1/4 = 1 1/4

your answer is 1 1/4

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

use the distributive property to write an equivalent expression.

6(s + 3t)

Answers

6s +18t hope this helps

The half-life of iodine-131 is approximately 8 days. Find the amount of iodine-131 left from a 35 gram sample after 32 days.

Answers

Answer:

2.1875 grams

Step-by-step explanation:

32/8=4 times it will divide 1/2

35/2=17.5

17.5/2=8.75

8.75/2=4.375

4.375/2=2.1875

CAN SOMEONE HELP ME DO THIS PROBLEM QUICK ILL GIVE BRAINLIEST


[tex]\sqrt[3]8/{27}[/tex]

Answers

cube root of 8=2 so the fraction simplifies to 2/27 (in decimal form it’s .074 repeating)

Solve the absolute value equation l2x - 1l = 15

Answers

X1=-7, X2=8 this is correct answer

Help pls!! Which technique below will help you find the balance point or center of gravity?

Answers

Answer:

I'm taking an educated guess here and saying that its option two.

I haven't done these problems in almost two years.

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