Consider the following figure.

Answer:

2/7

Step-by-step explanation:

Since the denominators are the same, we need to add the numerators and place it over the common denominator

-4+6 = 2

so

-4/7 + 6/7 = 2/7

2/7

Answer:

B

Step-by-step explanation:

Answer:

y = 10x + 15

Step-by-step explanation:

y +25 = 10(x+4)

y = 10x + 40 - 25

y = 10x + 15

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

https://brainly.com/question/28170201

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Your question is confusing. The image of the question is attached below.

Answer:

x=5

Step-by-step explanation:

Hello There!

The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180

so we can create an equation to solve for x

180=80+20x

step 1 subtract 80 from each side

80 - 80 cancels out

180-80=100

100=20x

step 2 divide each side by 20

100/20=5

20x/20=x

we´re left with x=5

Answer:

5/11

Step-by-step explanation:

I hope this helps a bit.

Answer:

The answer is below

Step-by-step explanation:

Two triangles are similar if the ratio of their corresponding sides are in the same proportion.

1. ΔWXY is isosceles with legs WX and WY      (given)

2. ΔWVZ is isosceles with legs WV and WZ     (given)

3. WX =  WY, WV = WZ  (definition of an isosceles triangle)

4. [tex]\frac{WX}{WY}=1\\\\[/tex]

[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)

5. (WZ)(WX) = (WY)(WZ)       (multiplication property)

6. (WZ)(WX) = (WY)(WV)  (substitution property).

7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex]      (property of proportion)

8. ∠W = ∠W (reflexive property)

9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)

Answer:

♣:  

✔ WX = WY; WV = WZ

♦:  

✔ substitution property

♠:  

✔ SAS similarity theorem

Step-by-step explanation:

just took it :)

Answer: 21 degrees

Step-by-step explanation:

In the evening, the temperature is 28 degrees and by midnight it has dropped 31 degrees lower, the temperature by midnight will be:

= 28° - 31°

= -3°

Between midnight and 4 am it goes down 6 more degrees. The temperature by 4am will be:

= -3° - 6°

= -9°

Then, by 9 am, the temperature goes up 30 degrees, the temperature at 9 am will then be:

= -9° + 30°

= 21°

Answer:

X - 3 = 5

Step-by-step explanation:

X decreased by 3 means X-3.

If X - 3 is 5, then it can be written as X - 3 = 5

Answer: 8

Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.

Answer: 28.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 angles are added to result in = 180°

therefore

180 = 97 - 3x + 69 + 5x

180 = 166 + 2x

2x = 180 - 166

2x = 14

x = 14 ÷ 2

The value of x = 7

______________

#IndonesianPride

- kexcvi

Answer:

what do we have to do in this?????

Answer:

2

Step-by-step explanation:

Answer:

4-6x=y2

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

You take the 65 plyers multiplied by the 40 % then you get 2600. You take that divided by 100 and get 26

Answer:

-√2

Step-by-step explanation:

C on Edg

Answer: - square root 2

Step-by-step explanation: c on edge

Answer:

Fraction: 10 and 5/8

Step-by-step explanation:

17 × 5/8

85/8

Answer:[tex]10\frac{5}{8}[/tex] or 10.625

Step-by-step explanation:

First of all, note that 17 is the same as 17/1 since 17 divided by 1 is 17. Therefore, start by setting up the problem like this:

[tex]\frac{17}{1} X \frac{5}{8}[/tex]

Multiply the numerators together (17 x 5 = 85) and multiply the denominators together (1 x 8 = 8) and make it into one fraction like so:

[tex]\frac{85}{8}[/tex]

Convert the improper fraction above to a mixed number to get the answer:

[tex]=10\frac{5}{8}[/tex]

Answer:

3x + 5y + 2

Step-by-step explanation:

Given:

4x + 5y - ( x - 2 )

Find:

Subtract value

Computation:

4x + 5y - ( x - 2 )

4x + 5y - x + 2

3x + 5y + 2

Answer:

The answer is 578.57

Step-by-step explanation:

your welcome

Answer:

20.x≤8

Step-by-step explanation:

20.X+5≤13

x≤13-5

x≤8

Answer:

d. The relative frequency of the people that chose drama is 0.1[tex]\overline 6[/tex]

e. The relative frequency of the people that chose action is 0.2

Step-by-step explanation:

The result of the survey is expressed as follows;

C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R

Sorting the data, with Microsoft Excel, we get;

A,  A,  A,  A,  A,  A,  C,  C,  C,  C, D,  D,  D,  D,  D,  H,  H,  H,  H,  H,  H,  H,  R,  R,  R,  R,  R,  R,  R,  R

From the pivot table created with Microsoft Excel, we have

The frequency of As = 6

The frequency of Cs = 4

The frequency of Ds = 5

The frequency of Hs = 7

The frequency of Rs = 8

The sum of all frequency = 6 + 4 + 5 + 7 + 8 = 30

d. The relative frequency of the people that chose drama is given as follows;

[tex]Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all \ frequencies}[/tex]

The frequency of the people that chose drama = 5

The sum of all frequency = 30

[tex]Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6[/tex]

The relative frequency of the people that chose drama = 0.1[tex]\overline 6[/tex]

e. The relative frequency of the people that chose action, RF action, is given as follows;

[tex]RF \ action = \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies} = \dfrac{6}{30} = \dfrac{1}{5} = 0.2[/tex]

The relative frequency of the people that chose action, RF action = 0.2.

Answer:

-43

Step-by-step explanation:

f(-3) = 4(-3) - 7 = -12 - 7 = -19

g(4) = -7(4) + 4 = -28 + 4 = -24

-19 + (-24) = -43

Answer:

y < 2x -3

Step-by-step explanation:

Answer:

x≥-5

Step-by-step explanation:

Hope this helps.

Answer:

[tex]\sin\,\theta =-\frac{\sqrt{21} }{5}[/tex]

[tex]\tan\,\theta =\frac{\sqrt{21} }{2}[/tex]

[tex]\sec\,\theta = \frac{-5}{2}[/tex]

[tex]cosec\,\theta =\frac{-5}{\sqrt{21} }[/tex]

[tex]\cot\,\theta =\frac{2}{\sqrt{21} }[/tex]

Step-by-step explanation:

[tex]\cos\theta =\frac{-2}{5}<0\\sin\theta <0[/tex]

As both [tex]sin\,\theta<0,\,\cos\,\theta <0[/tex],

[tex]\theta[/tex] lies in the third quadrant.

In the third quadrant,

[tex]\sin\theta<0,\,\cos\,\theta <0\,,\,\sec\,\theta<0,\,cosec\theta<0,\,tan\,\theta>0,\,cot\,\theta>0[/tex]

[tex]\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}[/tex]

[tex]\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}[/tex]

[tex]\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}[/tex]

[tex]\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }[/tex]

[tex]\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }[/tex]