The lengths of the sides of a triangle are consecutive even integers. The perimeter is 174 feet.​

[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =180\ \text{and} \ \beta =\alpha +52\text{\ then}\\\\\alpha +\alpha +52=180\\\\\Longrightarrow 2\alpha =180-52\\\\\Longrightarrow \alpha =\frac{128}{2} =64\\\\\therefore \beta =64+52=116\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 116\ degrees}}\end{array}[/tex]

Answer:

The answer is c = 2 + 3d .

Step-by-step explanation:

It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :

Let c be the cost,

Let d be the distance,

c = 2 + 3d

Answer:

10%

Step-by-step explanation:

495-450=45

45x100/450=10

Answer:

Profit made by reselling = 495 - 450 = ₹45

So, percentage =

[tex] \frac{45}{450} \times 100 = 10\%[/tex]

So, gain percentage is 10%

Answer:

below

Step-by-step explanation:

1 corn equals 700-800 the yellow tiny thing.

so, lets just assume it has 700,

therefore, 700 - 6 = 694

694 + 1 = 695.

or 700 + 1 = 701.

or perhaps

800 - 6 = 794

794 + 1 = 795

or 800 + 1 = 801

but then again it depends on how much the yellow tiny thing is on the corn. bc, it could be 705, 807, or even 900, who knows.

Answer:

reflection

Step-by-step explanation:

a.reflection

Answer:

y=1

Step-by-step explanation:

the missing parts of the table

Answer:

30

Step-by-step explanation:

AC = AB + BC

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48 - 8 = 5x

40 = 5x

40/5 = x

8 = x

Finding BC

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

#2

Coordinate = -3 + 8 = 5

Answer:

Step-by-step explanation:

We know that adding AB and BC will give us AC so we can create an equation and solve for x.

2x + 2 + 3x + 6 = 48

~Combine like terms

5x + 8 = 48

~Subtract 8 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Now that we know the value of x, we can solve for BC.

= 3(8) + 6

= 24 + 6

= 30

I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.

-3 + 8 = 5

Best of Luck!

Step-by-step explanation:

the domain is the interval of the x (input) values.

in other words, is g(x) invalid for certain x ?

it does not look like it. it looks like g(x) is valid for every possible value of x from -infinite to +infinite.

the range is the interval of possible y (functional) values.

and that is clearly valid for every y between -1 and +infinity.

Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

Answer:

Not a function

Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.

Answer:

Step-by-step explanation:

There are 26 possibiliteis of the first and last initials. So there are [tex]26\times 26[/tex] different initials.

So the smallest class size to ensure the Prof to use different system is [tex](26\times 26)+1[/tex] since there must be two people in this class with the same first and last initials.

Answer:

-56w^2x^9-24w^3x^6-48w^2x^6

Step-by-step explanation:

Expand by distributing terms.

-(56w^2x^9+24w^3x^6-48w^2x^6)

Then remove the parentheses

Answer:

. 143

Step-by-step explanation:

Because 8 is greater than 5 so we can say that when we round .1428 to nearest thousandth it will be closer to .143

Answer:

1-1=0

1*0=0

I dont know if I'm right

Answer:

1 Refelction in the diagnal axis, translation to the right

Step-by-step explanation:

Im a bit unsure about this, question is a bit vauge

Answer: 16

Step-by-step explanation: following PEMDAS you’ll solve the exponent first

3^2= 9

9+21/3

Then solve the division

21/3 = 7

9+7

Then addition

9+7= 16

Answer:

[tex]x(t) = 3 + t[/tex]

make t the subject:

[tex]t = x - 3[/tex]

for y :

[tex]y(t) = - {t}^{2} \\{ \boxed{ \boxed{ y(t) = - {(x - 3)}^{2} }}}[/tex]

Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.

Step-by-step explanation:

Step-by-step explanation:

17 nickels and 5 quarters I just thought way to much for such a simple question

Answer:

(14, 2).

Step-by-step explanation:

x - y = 12

y = 2

Solving this system:

Plug y = 2 into the first equation:

x - 2 = 12

x = 14.

Therefore the  point of intersection is at (14, 2).

Answer: 6

Step-by-step explanation:

3 (x-1) = x + 9

3x - 3 = X + 9

3x - x = 9 + 3

2x = 12

x = 12/2

x = 6

The correct answer will be "n = 6". A complete solution is provided below.

Let,

The number be "n".

According to the question, the expression will be:

→  [tex]3(n-1)=9+n[/tex]

→     [tex]3n-3=9+n[/tex]

By adding "3" both sides, we get

→  [tex]3n-3+3=9+n+3[/tex]

→              [tex]3n=12+n[/tex]

By subtracting "n" from both sides, we get

→        [tex]3n-n=12+n-n[/tex]

→               [tex]2n=12[/tex]

→                 [tex]n=\frac{12}{2}[/tex]

→                 [tex]n = 6[/tex]

Thus the above is the appropriate answer.

Learn more:

https://brainly.com/question/88431

Answer:

i think it's the first option.

Answer:

A. ( well... The first option)

Step-by-step explanation:

Any number that can be written as a fraction with integers is called a rational number. Which the numbers on option one is a perfect example of a rational number instead of a irrational number.

Answer:

The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]

The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length [tex]$e$[/tex] is given by:

[tex]V=e^{3}[/tex]

Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:

[tex]V=6^{3}[/tex]

[tex]V=216 \mathrm{ft}^{3}[/tex]

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]

[tex]=8 \mathrm{yd}^{3}[/tex]

Learn more about volume, refer :

https://brainly.com/question/898827

Answer:

[tex](fog)(x) = f(g(x)) \\ = 7(4 - 2x) - 7 \\ = 28 - 14x - 7 \\ = 21 - 14x \\ = - 14x + 21[/tex]

[tex](gof)(x) = g(f(x)) \\ = 4 - 2(7x - 7) \\ = 4 - 14x + 14 \\ = 18 - 14x \\ = - 14x + 18[/tex]

I hope I helped you^_^

Answer:

you multiply 8 with 0.9 easy like that

Step-by-step explanation:

-2m-39=0

-2m=0+39

-m= 39/2

m= -19.5

Answer:

[tex]7m - 4 - 9m - 35 = 0 \\ 7m - 9m = 35 + 4 \\ - 2m = 39 \\ 2m = - 39 \\ m = \frac{( - 39)}{2} \\ \boxed{m = - 19.5}[/tex]

Answer:

10.46

Step-by-step explanation:

I wasn't too sure what you meant by this but I solved it the best I could.

5.23(10-8)

5.23(2)

10.46

Step-by-step explanation:

We are going to use the following properties of logarithms to solve this problem:

[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]

and

[tex]\log{ab} = \log{a} + \log{b}[/tex]

So we can rewrite the given equation as

[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]

Also,

[tex]\log{16} + \log{x} = \log{(16x)}[/tex]

So we can write

[tex]\log{2x^2} = \log{(16x)}[/tex]

or eliminating the log symbols, we get

[tex]2x^2 = 16x[/tex]

The solutions for the equation above are

[tex]x = 8\:\text{and}\: 0[/tex]