use a proportion to find the length of side x for the pair of similar figures

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

Answer:

doom

Step-by-step explanation:

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

Answer:

The answer is

A.) Animal products like meat and dairy provide complete proteins.

Hope this helps! Have a great day :)

Step-by-step explanation:

Answer:

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of 16 and 24

∵ The common factor of 16 and 24 are 1, 2, 4, 8

∵ The greatest one is 8

∴ The greatest common factor of 16 and 24 is 8

→ Take 8 as a common factor from 16m and 24

∵ 16m ÷ 8 = 2m

∵ 24 ÷ 8 = 3

∴ 16m - 24 = 8(2m - 3)

∴ The espression 8(2m - 3) shows the length and the width of

   the rectangle

Answer:

43

-161

Step-by-step explanation:

A) [tex]7x(-5)[/tex]

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]

[tex](7x5)[/tex]

Multiplique os valores

[tex]-35[/tex]

resposta para  A: [tex]-35[/tex]

B)[tex](-9)x(-8)[/tex]

A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]

[tex]9 x 8[/tex]

Multiplique os valores

[tex]72[/tex]

Resposta para B :[tex]72[/tex]

C)[tex](-15) : 5[/tex]

A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]

[tex]-(15:5)[/tex]

Divida os números

[tex]-3[/tex]

Resposta para C: [tex]-3[/tex]

D) [tex]125 : 25[/tex]

Divida os números

[tex]5[/tex]

Resposta para D: [tex]5[/tex]

POR FAVOR ME MARCA BRAINLIEST

Answer:

.36

Step-by-step explanatio

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

Answer:

nope its not equal

a×a×a=a³, but a+a+a=3a

so, a³≠3a

Step-by-step explanation:

i hope this helps....can i have brainliest

MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

Answer:

5

Step-by-step explanation:

Answer:

C. y - 5= 5/3 ( x - 3 )

Step-by-step explanation:

I used a graphing calculator

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

In terms of general equivalence relations,

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

Step-by-step explanation:

income income earned working 5 hours is $50

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

Step-by-step explanation:

P * h = k, where k is a real constant.

Answer:

[tex]y = \frac{2}{3}x - 6[/tex].

Step-by-step explanation:

(3 , -4)  ;  slope(m) = 2/3

y - y1 = m (x -x1)

[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.