"Unless [the three branches] be so far connected and blended

as to give to each a constitutional control over the others, the

degree of separation ... essential to a free government, can

never in practice be duly maintained." James Madison, Federalist

48

Which principle best describes what Madison is explaining?

А

checks and balances

B

popular sovereignty

С

rule of law

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

Answer:

1

Step-by-step explanation:

As you can see when you list out the factors of each number, 1 is the greatest number that 5, 6, and 15 divides into.

Answer:

4

Step-by-step explanation:

x= 18÷4.5=4

hope it helps

Answer: G is -1/3

Step-by-step explanation:

Answer:

jjjjnnuiuhjiihhiihb

Step-by-step explanation:

tyuijiojnoo.

yu8ijhiihj

Basically...

4n - 8 = 14n + 12

Simply collect like terms,

4n-14n=12+8

-10n=20

Divide both sides by -10

n= -2

Please mark BRAINLIEST.

Step-by-step explanation:

[tex]4n - 8 = 14n - 4n \ \\ - 8 - 4 = 14n - 4n \\ - 20 = 10n \\ - \frac{20}{10} = n \\ n = - 2[/tex]

Answer:

letter B.

Step-by-step explanation:

5.5ft

hope it helps you

Answer:

⁴/2

Step-by-step explanation:

because is I solveng to be a good

brainliest me

Answer:

Common ratio is - 4 / 2.

Step-by-step explanation:

Sequence = - 2, 4, - 8, 16, - 32, ....

Let the terms be " a ".

Here,

a1 = 2

a2 = 4

a3 = - 8

a4 = 16

a5 = - 32

Let the common ratio be " r ".

r1 = a2 / a1

= 4 / - 2

r1 = - 2

r2 = a3 / a2

= - 8 / 4

r2 = - 2

r3 = a4 / a3

= 16 / - 8

r3 = - 2

r4 = a5 / q4

= - 32 / 16

r4 = - 2

Since, the common ratios are same,

Therefore, r = - 2

- 4 / 2 = - 2

So, - 2 can also be written as - 4 / 2.

Hence,

r = - 4 / 2

Finally,

Common ratio ( r ) = - 4 / 2

Answer:

5%

Step-by-step explanation:

To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.

$750 / $37.50= 0.05

The answer is 5%

Hope this helps

Answer:

For every two black kittens, there is one orange kitten.

Step-by-step explanation:

Simplify the ratio and put it in word form.

Answer:

For every three kittens there is one orange kitten

Step-by-step explanation:

The total number of kittens is equal to four black kittens + two orange kittens, which makes for six kittens.

So for every six kittens there are two orange kittens.

We can simplify this down further by dividing by the greatest common factor, 2.

So,

For every three kittens there is one orange kitten.

Step-by-step explanation:

refer to the picture.. hope this helps :)

Answer:

They both have the same y intercept

Step-by-step explanation:

(1,0)(0,3)

(0,3)(1,-1)

Answer:

Δ ABD ≅ Δ CBD  SSS

Step-by-step explanation:

AB ≅ CB                  Given                                

AD ≅ DC                  Given                                

BD ≅ BD                  Reflexive property      

Δ ABD ≅ Δ CBD      SSS      

is it factorization ...

Answer: 44.44 mph

(50 + 40) / 2 = X

88.88/2 = X

44.44= X

Step-by-step explanation:

https://brainly.com/invite/3caaa23db4167cc1029ce1999a411bee?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Answer:

angle L = 100 degrees

angle M = 110 degrees

angle N = 70 degrees

angle P = 80 degrees

Step-by-step explanation:

find value of 'x' then substitute into each of the four angle expressions

to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)

2x + 20 + 3x - 10 + 2x - 10 + 2x = 360

combine 'like' terms to get:

9x = 360

x = 40

angle L = 2(40) + 20 = 100 degrees

angle M = 3(40) - 10 = 110 degrees

angle N = 2(40) - 10 = 70 degrees

angle P = 2(40) = 80 degrees

Check:

100 + 110 + 70 + 80 = 360

Answer:

5)42º

6)112º

7)112º

8)38º

Step-by-step explanation:

m<6         180-68=112

m<5         180=26+112+x            42=x

m<7 is congruent to m<6

m<8         180=30+112+x            38=x

Answer: scale to measure the weight

Step-by-step explanation:

On that date, 77.65 dollars is worth 3,870.08 rupees.

On that date, 82.12 rupees is worth  $1.65.

Exchange rate is the rate at which one currency is exchanged for another currency.

In order to convert rupees to dollars, multiply the value of the rupees by the exchange rate:

value of the rupees x exchange rate

77.65 to rupees = 77.65 x 49.84 = 3,870.08 rupees

In order to convert dollars to rupees, divide the value o the dollars by the exchange rate:

value of the dollars / exchange rate

82.12 to dollars = 82.12 / 49.84 = $1.65

To learn more about exchange rate, please check: https://brainly.com/question/25780725

#SPJ1

Answer:

8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer: trap house

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

SA of a cylinder formula:

A=2πrh+2πr^2

A=2π(3)(15)+2π(3)^2

A=339.29in^2

Hope that helps

Answer:

Step-by-step explanation:

Hi there!

From the given figure;

Radius(r) = 3 inch

Height (h) = 15 inch

Now;

Total surface area (TSA) = 2πr(r+h)

                              TSA = 2*([tex]\frac{22}{7}[/tex])*3(3+15)

                               TSA = [tex]\frac{132}{7}[/tex]*18

                               TSA = 339.42in².

Therefore,  the answer is option c (339.29in²).

Hope it helps!

Answer:

23,208 is the final answer.

Hope this helps!

Answer:

23,208

Hopefully this is correct

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Given terms :

Distance covered (d) = 12 miles

Time taken (t) = 1.5 hour

Average speed :

average speed = 8 mph

Answer:

8mph

Speed= Distance/Time

12/1.5= 8mph

Answer:

20

Step-by-step explanation:

20 / 2 = 10

10 - 4 = 6

Answer: 0.6 + 1.25 = 1.85

0.6 + 1.85 = 2.45

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

y+5/x+4=1/2

so 2y+10=x+4

2y-x=-6

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)

Perpendicular lines have slopes that multiply to get -1.

So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]

Substitute:

-2m=-1

Divide both sides by -2

m=[tex]\frac{1}{2}[/tex]

Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):

[tex]y=\frac{1}{2}x+b[/tex]

We need to find b.

Because we know the line passes through the point (-4, -5), we can use it to help solve for b.

Substitute -4 as x and -5 as y

[tex]-5=\frac{1}{2}(-4)+b[/tex]

Multiply:

-5=-2+b

Add 2 to both sides

-3=b

Substitute -3 as b:

y=[tex]\frac{1}{2}x-3[/tex]

Hope this helps!