1 Triangle ABC is similar to triangle DEF with the side lengths of triangle ABC being 5 times the side lengths of triangle DEF. What characteristic of the two triangles is the same? the side lengths the areas the angles the perimeters

Answer:

30cm^2

Step-by-step explanation:

area of triangle- 1/2xAxB

1/2(5x12)

0.5x60=30

Answer:

Answer: x^2 +14x+49

Step-by-step explanation:

The correct answer is -7/8

I used a calculator

Answer:

We know that if

          y ∝ x²

∴ y = k · x²

Now  

y = 8   , x = 4

From above y = k · x²

⇒ 8 = k · 4²

∴ k = 1/2

Again ....

x = 5  , y = ?

y = k·x²

y = 1/2 × 5²

 = 25/2 = 12.5

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

Answer:

15/8 simplified = 1 7/8

Step-by-step explanation:

an easier way to divide fractions is to convert all into a improper fraction like this 1 1/4 > 1x4+1= 5/4 since 2/3 isnt mixed keep it ok so now you have 5/4 divided by 2/3 next you take the fraction on the right and flip then multiply it to get 5/4 x 3/2 then you multiply across to get 15/8 then change that to a mixed number by dividing 15 by 8 to get 1 with a remainder of 7 so 1 7/8 is your answer

hope this helps you in the future have a blessed day!

Answer:

yes it is     3=4x0 +3

Step-by-step explanation:

Answer:

The 6x6 cube is 1/4 the area of the 12x12 cube.

100%=$1,636,364 (Rounded to the dollar)

Step-by-step explanation:

6x6=36

12x12=144

36/144=1/4

_____________________

20%=?

25%=?

Remainder (55%=$900,000) so:

100%=$900,000/.55

100%=$1,636,364

Answer:

The answer is C

Step-by-step explanation:

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

Answer:

37%

Step-by-step explanation:

Use the general addition rule for any two events:

(32 + 28) - 23

60 - 23

= 37

So, the probability that someone has a dog or cat is 37%

Answer:

37%

Step-by-step explanation:

32 + 28 = 60

60 - 23 = 37

Answer:

The answer is B

Step-by-step explanation:

Answer:

6 and -8

-6 and 8

Step-by-step explanation:

___· ___ = (-48)

Is the same as:

___· ___ = -48

A positive number multiplied by a negative number has a negative product.

P * N = N

Two positive numbers and two negative numbers have a positive product.

P * P = P

N * N = P

6 and -8  and -6 and 8 would be the correct answers. Again, a positive and a negative number will have a negative product.

6 * -8 = -48

-6 * 8 = -48

Hope this helps.

Answer:

T = 4x - 5

Step-by-step explanation:

Let x = Ben's age

2x = Chloe's age

x - 5 = Dan's age

Combine all the terms and simplify to form an equation.

T = 2x + x + x -5

T = 4x - 5

Answer:

The answer is C if i get it wrong then who ever gave you that is oof

Step-by-step explanation:

Step-by-step explanation:

I got this much.....

I am sorry of it gets wrong

Answer:

2,040

Step-by-step explanation:

That's what the calculator said (￣▽￣)"

Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex]  is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

[tex]2x + 4y = 14[/tex]   [tex]........(i)[/tex]

  [tex]4x + y = 20[/tex]    [tex]........(ii)[/tex]

Now,

To check that which option suits best for system of equation,

Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],

  [tex](-4) (4x + y) = (-4)*(20)[/tex]

[tex]-16x-4y=-80[/tex],

So, this above obtained equation is in option  [tex](A)[/tex].

Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

To know more about system of equations click here

https://brainly.com/question/21620502

#SPJ3

Answer:A

Step-by-step explanation:I took the test already trust me

Answer:

220

Step-by-step explanation:

To find these types of answers use a calculator my friend. 'Tis so easy, just do

*88/.4 = 220

*must divide to multiply and 44% = .44 =)

Answer:

$41,720

Step-by-step explanation:

Answer:

4 liters

Step-by-step explanation:

simplify 2/6 = 1/3

Multiply 1/3 times the 12 bottles

1/3 * 12

12/3

Simplify

4

Answer:

4 liters of soda.

Step-by-step explanation:

2/6⋅12=24/6

24/6=4

Therefore, your answer is 4 liters.

Answer: 508.68 inches

Step-by-step explanation:

The volume of a cylinder is written as:

= πr²h

where,

π = 3.14

r = 9

h = 2

Volume = πr²h

= 3.14 × (9²) × 2

= 3.14 × 81 × 2

= 508.68

Answer:

2√133

Step-by-step explanation:

a²+b²=c²

8²+12²=c²

c²=208

208+18²=532

√532=23

I really hope I get it right but "a single" sounds more right

Answer:

a single

Step-by-step explanation:

when one equation is not easily solved for a single variable

Answer:

The product is;

(80x^2-560x+ 980)/9

Step-by-step explanation:

Here, we want to get the product of the two smaller numbers

let the mid number be y

3/4 = 2x-7/y

3y = 8x-28

y = (8x-28)/3

Let the biggest be z

3/5 = 2x-7/z

3z = 10x -35

z = (10x-35)/3

The product of the two other numbers is thus;

(10x-35)/3 * (8x-28)/3

= (10x-35)(8x-28)/9

(80x^2-280x - 280x + 980)9

= (80x^2 - 560x + 980)/9

Answer:

x=2

Step-by-step explanation:

2x - 6= -2

   +6    +6

2x= 4

/2    /2

x=2

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of [tex]\frac{32}{5-\sqrt{7}}[/tex]

According to him,

[tex]\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}[/tex]

Solving the nominator and denominator

[tex]= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}[/tex]

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.