given m||n,find the value of x ​

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) =  [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.

[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.

[tex]\overline{EF}[/tex] = 60 ft.

The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.

Answer:

a  

Step-by-step explanation:

hope this help u  and  hope u get a good grasde :}

Answer:

A) x < 9

Step-by-step explanation:

Here we have an open circle. Open circles are used for greater than signs (>) and less than signs (<).

Since we have an open circle, we can eliminate option C and option D.

Now, we look at the number line.

The point is at 9, and the line from the point is going towards the left (where the smaller numbers are.)

9 is greater than every number is going toward.

**Let x represent every number is going toward.**

Therefore, x < 9.

okay im not sure but maybe try to find a number that can be = to 18 and that might be y

Answer:

y= 6x + 18

Step-by-step explanation:

Here, the problem says every package has 6 tortillas. X, in this problem, represents the number of packages, so x time 6, the number of tortillas each has, plus 18, the number of tortillas she already had, is going to give you y, the total amount of tortilla Jacinta has.

Answer:

3-2/6-3 =1/3

So the answer is 1/3'c'

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Answer:

option 3 so the second to last

Answer:

b

Step-by-step explanation:

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

Answer:

1/2 I believe is you answer darling

Answer:

its d..................

The sum of the expressions (-10x³ + 4x + 5) + (5x² - 2x) is -10x³ + 5x² + 2x + 5.

Thus, option (D) is correct.

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical statement.

To find the sum of the given expressions (-10x³ + 4x + 5) and (5x² - 2x).

Simply combine like terms:

(-10x³ + 4x + 5) + (5x² - 2x)

Combining the like terms, we have:

-10x³ + 5x² + (4x - 2x) + 5

Simplifying further, we get:

-10x³ + 5x² + 2x + 5

Therefore, the sum is: [tex]-10x^3 + 5x^2 + 2x + 5[/tex].

Thus, option (D) is correct.

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Answer: 83.9 ft

Step-by-step explanation:

Tan40^degrees/1=x/100

x=100tan40^degrees

x=83.9 ft

Answer:

84 units

Step-by-step explanation:

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

Answer:

6x - 8 multiply 6 and x then subtract 8

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Answer:

Step-by-step explanation:

r² - 12r - 28 = 0

r² - (14 - 2)r - 28 = 0

r² - 14r + 2r - 28 = 0

r ( r - 14 ) + 2 ( r - 14 ) = 0

( r - 14) ( r + 2 ) = 0

Either

r - 14 = 0

r = 14

or

r + 2 = 0

r = -2

therefore r = - 2 or 14

Answer:

The answer is C and please give me brainliet And a like!

Where the above parameters are given,  Shamika's total after the discount is $56.25. (Option D)

According to the table, if the total purchases are less than $50, the discount is 25%.

Shamika bought 3 skirts at $25 each, so her total purchase amount is 3 * $25 = $75.

Since $75 is less than $50, she qualifies for a 25% discount.

To calculate the discount, we multiply the total purchase amount by the discount rate  -

Discount = 25% of $75 = (25/100) * $75 = $18.75

To find her total after the discount, we subtract the discount from the total purchase amount  -

Total after discount = Total purchase amount - Discount

Total after discount = $75 - $18.75 = $56.25

Therefore, Shamika's total after the discount is $56.25. (Option D)

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Answer:

15

Step-by-step explanation:

2:3 ratio

if there is 2 catfish in a tank, in order to reach 6 catfish, we need 3 tanks

therefore, 3*3=9, 9 is the amount of angel fish

6+9=15

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

Answer:

51

Step-by-step explanation:

2*5=10

3*10=30

11*1=11

10+30+11

51

Answer:

She has $51

Step-by-step explanation:

You would do 10*3 = 30 since she has 3 tens. Then you would do 5*2 = 10 since she has 2 fives. And then you would do 11*1 = 11 since she has 11 ones. Then after you do that you would add all of them together so you would do 30+10+11 = $51

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

Answer:

75 Pages

Step-by-step explanation:

If he has 40% completed, it is 0.40 as a decimal.  We are trying to solve for the total number of pages in the book, or the whole.

part/whole = percent  

Let x = total number of pages in the book

30/x=0.40

x=30/0.40 = 75 pages in the book