In the diagram Below

Let's set up some variables:

Let's set up some equations based on the informative given:

             (Mathematical form) g = 12b

             (Mathematical form) g = b + 77

Let's put the equation together:

 g = 12b         -- equation 1

 g = b + 77     -- equation 2

  (equation 2)'s value of g into (equation 1)

  12b = b + 77

   11b = 77

    b = 7

There are 7 boys.

Answer: 7 boys

Hope that helps!

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Answer:

Odd is the answer.

Step-by-step explanation:

An even number can be written in the form 2x, where x is an integer.

An odd number can be written in the form 2x + 1, where x is an integer.

So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:

(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.

So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.

Answer:

c is the answer.

Answer:

B. <TSN and <ISW

C. <KSW and <NST

Answer:

D. ∠ISN and ∠TSW

Step-by-step explanation:

The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.

The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.

Hope this helps!

If not, I am sorry.

Answer:

21

Step-by-step explanation:

a,a+2,..

4(a+2)=29+3a

4a+8=29+3a

4a-3a=29-8

a=21

If two towns that are 32 km apart are 8 cm on a map. Then the scale factor will be 1 cm = 4 km.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Two towns that are 32 km apart are 8 cm on a map.

Then the scale factor will be

8 cm = 32 km

1 cm = 4 km

More about the dilation link is given below.

https://brainly.com/question/2856466

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Step-by-step explanation:

please mark me as brainlest

Answer:

25 minutes

Step-by-step explanation:

they started at a quarter past 11, which is 11:15

they then played for 45 minutes, which would be until 12:00

you also know that they stopped playing at 10 minutes past 1, at 1:10.

before 1:10, they had been playing for 45 minutes, which means they started playing for the second time at 12:25.

all that's left is the time between 12:00 and 12:25, which is 25 minutes, so they spent 25 minutes stopping for a drink and a cookie.

Answer:

each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts

Answer:

quadratic with a common second difference of 4

Step-by-step explanation:

quadratic equations: Quadratic equations are the polynomial equations of degree 2 example - a[tex]x^2\\[/tex]+ b[tex]x[/tex] + c = 0.

                               [tex]\begin{array}{cc}x&y\\-2&8\\-1&2\\0&0\\1&2\\2&8\end{array}\right][/tex]

from the table it is clear that,

function is y = 2[tex]x^2\\[/tex]

so the function is not linear as the equation specifies.

formula to find second difference of a quadratic equation:

f(x + 2) - 2f(x + 1) + f(x)

therefore;

[tex]2(x+2)^2[/tex] - [tex]4(x+1)^2[/tex] + [tex]2x^2[/tex]

[tex]2(x^2 + 4x + 4) - 4(x^2 + 2x+ 1 ) + 2x^2[/tex]

[tex]2x^2 + 8x + 8 - 4x^2 - 8x - 4 + 2x^2[/tex]

[tex]4x^2 - 4x^2 + 8x - 8x +8 - 4[/tex]

4

therefore, the answer is quadratic with a common second difference of 4

learn more about quadratic equations

brainly.com/question/17177510

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Answer:

69 degrees

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

<1 = 39+ 30

<1 = 69

Answer:

y=−1/2x−1

Step-by-step explanation:

I put it in slope intercept form as I assume that is what the question is asking.

Answer:

Using the simple mathematical relations and formulas we get the following correct answers.

1. Option A

2. Option C
3. Option D

4. Option C

5. Option D

Step-by-step explanation:

1. The approximate room temperature is 20°C. Option A is correct.

2. 1 day has 24 hrs. 5 days will have 5×24 = 120 hrs. Option C is correct.

3. The discharge is 56m³/sec. 1m³ has 1000L. So the discharge is 56000L/sec. Option D is correct.

4. The speed is 25cm/min or (25×0.01×60)m/hrs. = 15m/hrs. For 75m the snail would take 75/15 = 5hrs. Option C is correct.

5. The relation between °C and °F is (F-32)/1.8. The equivalent temperature is (105-32)/1.8 = 40.56°C. Option D is correct.

For more explanation, refer the following link

https://brainly.com/question/27956217

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Answer: (x+z+y)(y+z)

Step-by-step explanation:

y(x+z)+z(x+y)+y^2+z^2

Factor out y and z from the expression

= y(x+z+y)+z(x+y+z)

Factor out x + z + y from the expression

= (x+z+y)(y+z)

Step-by-step explanation:

The right answer is d because inverse means power in minus

Answer:

B. 66.0

Step-by-step explanation:

The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!

Answer:

800

Step-by-step explanation:

I did it on the test

Answer:

800

Step-by-step explanation:

I just fifnished test

Answer:

the answer will be 17.

Step-by-step explanation:

if, f (x) = 3x + 2

f (5) = 3 × 5 + 2 = 17.

Please mark me as the brainliest

Answer:

[tex]\dfrac 5{13}[/tex]

Step-by-step explanation:

[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} = \dfrac{5}{\sqrt{5^2 +12^2}} = \dfrac 5{\sqrt{169}} = \dfrac 5{13}[/tex]

Step-by-step explanation:

log2(x) = 5.6

so,

x = 2^5.6 ≈ 48.50293013... ≈ 48.50

Answer:

11 .21 add the number together

Notice that the given sum is equivalent to

[tex]10 + 1 + \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \cdots \\\\ ~~~~~~~~~~~~ = 10 \left(1 + \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \dfrac1{10^4} + \cdots\right)[/tex]

or 10 times the infinite geometric series with ratio 1/10.

To compute the infinite sum, consider the [tex]n[/tex]-th partial sum

[tex]S_n = 1 + \dfrac1{10} + \dfrac1{10^2} + \cdots + \dfrac1{10^{n-1}}[/tex]

Multiply both sides by the ratio.

[tex]\dfrac1{10} S_n = \dfrac1{10} + \dfrac1{10^2} + \dfrac1{10^3} + \cdots + \dfrac1{10^n}[/tex]

Subtract this from [tex]S_n[/tex] to eliminate all but the outermost terms,

[tex]S_n - \dfrac1{10} S_n = 1 - \dfrac1{10^n} \implies S_n = \dfrac{10}9 \left(1 - \dfrac1{10^n}\right)[/tex]

As [tex]n\to\infty[/tex], the exponential term will decay to 0, leaving us with

[tex]1 + \dfrac1{10} + \dfrac1{10^2} + \cdots = \dfrac{10}9[/tex]

Then the value of the sum we want is

[tex]10\times\dfrac{10}9 = \boxed{\dfrac{100}9}[/tex]

Answer:

Then the new point is (-6,-5)

Step-by-step explanation:

For this question, I will be writing 'csc' instead of 'cosec'

[tex]4\sin x-\csc x=\cot x\\\\4\sin x-\frac{1}{\sin x}=\frac{\cos x}{\sin x}\\\\4\sin^{2} x-1=\cos x\\\\4(1-\cos^{2} x)-1=\cos x\\\\4-4\cos^{2} x-1-\cos x=0\\\\4\cos^{2} x+\cos x-3=0\\\\ (4\cos x-3)(\cos x+1)=0\\\\\cos x=\frac{3}{4}, 1\\\\\therefore \boxed{\cos^{-1} \left(\frac{3}{4} \right), 180^{\circ}, 360^{\circ}-\cos^{-1} \left(\frac{3}{4} \right)}[/tex]

Answer:

2

Step-by-step explanation:

[tex]\text{First I'd recommend using this little equation:}\\\text{m}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the values::}\\\text{m}=\dfrac{5-1}{3-1} \\\text{m}=\dfrac{4}{3}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{The gradient is:: }\dfrac{4}{3}[/tex]

Answer:

1 7

_

8

Step-by-step explanation:

5 x 3 = 15

5 + 3 = 8

=1 7

_

8

Answer:

x-4y = 8

Step-by-step explanation:

The standard form for the equation of a line is Ax+By=C  where A is a positive integer and B and C are integers

First we need to find the slope

m = ( y2-y1)/(x2-x1)

m = (-3-1) / (-4-12)

     =-4/-16

    = 1/4

The point slope form is

y-1 = 1/4(x-12)

Multiply each side by 4

4(y-1 )= 4*1/4(x-12)

4(y-1) = x-12

4y -4 = x-12

Subtract 4y from each side

4y-4-4y = x-4y -12

-4 = x-4y -12

Add 12 to each side

-4+12 = x-4y -12+12

8 = x-4y

x-4y = 8

The standard form is x-4y = 8

Answer:

Step-by-step explanation:

Solution

Total growth (2 weeks) = x + 8

Explanation

During the second week, the plant is already 8 inches tall. It adds x to its total growth. 8x is not the same thing.

Meaning of 8x

For plants, 8x could mean the amount of growth that took place in 8 weeks. x is the amount of growth that takes place in 1 week. You have to think that the growth (x)  for each week is the same

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Temp = 77° F[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: f = \bigg (c \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[ convert 25° C to °F ]

[tex]\qquad \tt \rightarrow \: \bigg (25 \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[tex]\qquad \tt \rightarrow \: (5 \sdot9) + 32[/tex]

[tex]\qquad \tt \rightarrow \: 45 + 32[/tex]

[tex]\qquad \tt \rightarrow \: 77 \degree \: \: f[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

77

Step-by-step explanation:

took the quiz

Answer: Choice B

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

===================================================

Further Explanation:

Shayla stating that the y axis being used to conduct a vertical line test is part of the process. But she needs to move the vertical line around and not have it fixed in place.

If it is possible to have a vertical line (on the y axis or not) pass through more than one point on the curve, then we don't have a function. It is said the curve fails the vertical line test.

Otherwise, the graph passes the vertical line test and we have a function.