need help on this I need all work shown as well, the subject is on similar triangles

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Answer:

Step-by-step explanation:

6.

-4(3+n)>-12

-12-4n>-12

-4n>0

n<0

open circle at 0 and left of 0 on the number line.

8.

-3(r-4)≥0

divide by -3

r-4≤0

r≤4

solid line starting from 4 and extends left .

5.

-b-2>8

-b>10

b<-10

open circle at -10

and extends left.

7.

[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]

open circle at 6 and extends left .

Answer:

5) b<-10

From -10 to left

6) n<5

From 4 to 1

7) n<6

From 5 to -2

8) r<=4

From 4 to -4

Step-by-step explanation:

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

Answer:

Not a quadratic function.

Step-by-step explanation:

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Answer:

20% of 2500 is 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

We need to determine 20% of 2500 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2500.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2500 = 100%.

Step 4: In the Same way, x = 20%.

Step 5: On dividing the pair of simple equations we got the equation as under

2500 = 100% (1).

x = 20% (2).

(2500%)/(x%) = 100/20

Step 6: Reciprocal of both the sides results in the following equation

x%/2500% = 20/100

Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500

x = 500%

Therefore, 20% of 2500 is 500

Answer:

number · 0.50 = 50% of a number

number · 0.10 = 10% of a number

number · 0.75 = 75% of a number

Step-by-step explanation:

50% = 0.50

10% = 0.10

75% = 0.75

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.

Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

To learn more about co-ordinate planes refer to:

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Answer:

C

Step-by-step explanation:

Edge 2023

Answer:

We need to see all of the choices, but they are congruent and reflected and rotated.

Step-by-step explanation:

Answer: 3x-5

Step-by-step explanation:

Five subtracted from three times any number can be represented as 3x-5.

Answer:

[tex]\huge\boxed{\sf No.}[/tex]

Step-by-step explanation:

Perpendicular lines:

When two lines intersect each other at 90 degrees, they are said to be perpendicular lines.

Answer:

The given lines are not perpendicular lines since they do not intersect each other at 90 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x=-8/3

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex]\bf \huge \: Equation \: provided:[/tex]

[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]

[tex]\bf \huge \: Solution:[/tex]

[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]

[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]

[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]

[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]

[tex] \bf \: On \: Simplification:[/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]

[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]

[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]

[tex]\bf On \: Simplification:[/tex]

[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]

[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]

[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]

______________________________________

[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]

[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]

The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The solution of the given equation is

[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]

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Answer:  B though im not sure

Step-by-step explanation:

Answer:

a. f(2) = 6

b. f(3) + f(-3) = 62

d. 3(x+1)^2 - 5(x+1) + 4

e. This one looks like the secant line equation. Not fully sure.

Step-by-step explanation:

You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.

For the other two , you have use algebra. For d, you replace x with x+1.

Answer:

  6 cm

Step-by-step explanation:

If the original side length is x, then the modified square has an area of ...

  A = LW

  32 = (x +2)(x -2) = x^2  -4

  36 = x^2 . . . . . . . . add 4

  6 = x . . . . . . . . . . take the square root

The original figure has a side length of 6 cm.

__

Check

The modified figure is 8 cm by 4 cm = 32 cm^2.

Answer:

a) 22.8%

Step-by-step explanation:

(2590-2000) ÷ 2590 =

590 ÷ 2590 =

.2277 = 22.8%

Answer: 1/4

Step-by-step explanation: i think it is 1/4 bc 48 is the total and 12 can go in 48 4 times

i hope this helped have a good day

This means that  12 cars are green,12 cars are blue,and 12 cars are yellow/white. which means there are 4 groups of cars  which all together equals 48 which is 48 divided by 12 equals 4 or just do 12 +12+12+12+48  or

4+4+4+4+4+4+4+4+4+4+4+4=48  

Meaning there are 4 groups and 12 is 1 part of them which makes 1/4

Answer:

There are 1084 pupils in that school.

Step-by-step explanation:

If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.

Hope this helps!

Answer:

1084

Step-by-step explanation:

542+542

Same thing as before!

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.

The correct option is f(x) = –2(x – 2)(x – 4).

Given:

The x-intercepts at (2, 0) and (4, 0).

The y-intercept of (0, –16).

The nature of the graph is quadratic curve. Write the general equation for x-intercept.

[tex]y=a(x-2)(x-4)[/tex]

Where is [tex]a[/tex] number

Substitute 0 for [tex]x[/tex].

[tex]y=a(0-2)(-4)\\y=8a[/tex]

We have y-intercept of (0, –16).

[tex]-16=8a\\a=-2[/tex]

The equation would be,

[tex]f(x) = -2(x - 2)(x - 4).[/tex]

Thus, the correct option is f(x) = –2(x – 2)(x – 4).

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[tex] \: \: \: \: \: [/tex]

[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]

Answer:

902,800,000

Step-by-step explanation:add the 5 zeros from 100,000 to 9,028

Answer:

jjjjStep-by-step explanation:

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

a = 6

Check:

from the first eq.

6 + (-4) = 2

6 - 4 = 2

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving