Is this triangle not similar because it only has two proportional sides?

Answer:

Step-by-step explanation:

Given that :

x = 5-2√6

1/x = 1/(5-2√6)

The denominator = 5-2√6

The Rationalising factor of 5-2√6 = 5+2√6

On Rationalising the denominator then

⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]

⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]

⇛ 1/x = (5+2√6)/[5²-(2√6)²]

Since (a+b)(a-b) = a²-b²

Where ,

⇛1/x = (5+2√6)/(25-24)

⇛ 1/x = (5+2√6)/1

⇛ 1/x = 5+2√6

Now,

x +(1/x)

⇛ 5-2√6+5+2√6

⇛ 5+5

⇛ 10

Therefore, x+(1/x) = 10.

On squaring both sides then

⇛ [x+(1/x)]² = 10²

⇛ x²+2(x)(1/x)+(1/x)² =100

⇛ x²+2+(1/x)² = 100

⇛ x²+(1/x²) = 100-2

⇛ x²+(1/x²) = 98

Therefore, x²+(1/x²) = 98.

Read more:

Similar questions;

Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....

https://brainly.com/question/24697983?referrer

Answer:

  -1

Step-by-step explanation:

The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

Answer:

1

Step-by-step explanation:

The remainder is what’s left when you divide. The part you cannot divide.

You can divide 75 by 3 = 25, so the remainder is 1.

Answer:

1.25 miles

Step-by-step explanation:

0.25 miles = 8 seconds

x miles = 40 seconds

0.25/8 = x/40

0.25 * 40 = 8x

10 = 8x

x = 1.25

-Chetan K

Answer:

f(11)=78

Step-by-step explanation:

f(11)=7(11-1)+8

f(11)=77-7+8

f(11)=78

Answer:

F(11) = 78

Step-by-step explanation:

f(11) means that you would just have to replace “x” on the equation with 11 and then solve;

=> f(11) = 7(11 - 1) + 8

=> f(11) = 7(10) + 8

=> f(11) = 70 + 8

=> f(11) = 78

therefore the answe is 78

Hope this helps!

Answer:

  A.

Step-by-step explanation:

The attached graph has a y-intercept of -1 and a slope of 2, as the equation says it must.

__

The equation is in slope-intercept form, where the coefficient of x is the slope of the line. That is, the ratio of "rise" to "run" is 2: the line rises 2 grid squares for each grid square it runs to the right.

Work Shown:

6*8*6 = 288

Why does this work? Consider a table that is 6 rows by 8 columns. The rows represent the number of skirts and 8 is the number of jackets. That produces 6*8 = 48 different skirt & jacket combos. We can extend this idea out to any number of items instead of just 2.

Answer:

6

Step-by-step explanation:

you keep counting until you reach the lowest number of whatever you need to make it equal

6-1-1-1-1-1-1

6-1-1-1-1-1-1

8-1-1-1-1-1-1

Answer:

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

The polynomial is:

Answer:

the answer is this sign >. it means the answer on the left is greater than the one on the right

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

The ratio of the number of novels to that of dictionaries is 2:3, hence:

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

[tex]3x = 2y[/tex]

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

Total number of novels is 624, hence:

[tex]x = 624[/tex]

[tex]y = \frac{3}{2} \times 624 = 936[/tex]

Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:

[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]

[tex]1872 + 3z = 6461[/tex]

[tex]z = \frac{6461 - 1872}{3}[/tex]

[tex]z = 1530[/tex]

1530 more novels have been bought in total.

A similar problem is given at https://brainly.com/question/17096268

Coding the given algorithm in python 3, the greatest common divisor of the values (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation goes thus :

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

A sample run if the program on the values given :

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :brainly.com/question/25506437

Answer: -13

Step-by-step explanation:

I know that the distance between -5 and 3 is 8 so I subtracted 8 from the negative 5 so it would be the same distance and I got -13

Answer:

-13

Step-by-step explanation:

Hello!

The "greater than sign" means one number is greater than the other.

Example: 4>2 (4 is greater than 2)

The "not equal to sign" means one number is not equal to another one.

Example: 15[tex]\neq[/tex]17 (15 is not equal to 17)

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

no they dont

greater than sign denotes that the first digit is greater than the other digit

The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)

3 ft x 4 sides = 12 ft.

Perimeter = 12 ft.

Answer:

0% is none of the leaves and 100% is collecting all of them

Answer:

11y is the exact value.

Step-by-step explanation:

6 + 30

The greatest common factor is 6, so take it out. We get...

6 (1 + 5)

Let's verify it.

6 (1 + 5) = 6 + 30

6(6) = 6 + 30

36 = 36

LHS = RHS, Hence proved.

______

RainbowSalt2222 ☔

=5/3   =−1

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Answer:

27 feet per second.

Step-by-step explanation:

You already have your time unit in second and length measurement in feet so just divide the two 378/14=27 feet per second.

Answer:

-27 feet per second

Step-by-step explanation:

378 ÷ 14 = 27

because the submarine is going down, the sign has to be negative

Answer:

Step-by-step explanation:

The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...

  6, 0, 7, 1

The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:

  2x^7 -7x^6 -18x -4

The leading coefficient is 2; the degree is 7.

__

Additional comment

When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.

Answer:

$450+$50= X

X=$500

Step-by-step explanation:

The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.

Here we have to add.

450+50=500

(add the dollar sign)

$450+$50=X

X=$500

Answer:

d because your taking away 6 from the 275

Step-by-step explanation: