Which rule explains why these triangles are congruent?

Answer:

$19

Step-by-step explanation:

this is the answer

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

30 with the remainder of 714

Step-by-step explanation:

To get the circumference of a circle: 2[tex]\pi[/tex]×radius

Your circle has a given diameter of 3 feet.

To get the radius: 3 ÷ 2 = 1.5

To get circumference of this circle: 2 × [tex]\pi[/tex] × 1.5 = 9.424777961......

Answer:

Approximately 9.424 feet

Answer:

i am in 7th grade as well the answer is 9.42 rounded to the nearset of a tenth would be 9.4

Step-by-step explanation:

first find the radius by doing diameter ÷2

3÷2=1.5

1.5xπ

Answer:

Please refer to the attached image.

Answer:

Dotted line

Step-by-step explanation:

when using the > or < symbols you put a dotted line because the line is not included in the shaded area.

If the symbols were a < or a > you would put a solid line.

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

Answer:

36.2

Step-by-step explanation:

Answer:

36.20

Step-by-step explanation:

it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Answer:

Step-by-step explanation:

You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA

tan(51) = x/15

x = 18.5

Answer: 4 Chocolates

Answer:

for 12% it would be $3,000

And, for 6% it would be $2,000

Step-by-step explanation:

The computation of the amount invested at each rate is shown below:

Let us assume the amount invested at 12% be x

So, the $5,000 - x be invested at 6%

The total interest earned is $480

So the equation would be

0.12x + 0.06($5,000 - x)  = $480

0.12x + $300 - 0.06x = $480

0.06x = $80

x = $3,000

So for 12% it would be $3,000

And, for 6% it would be $2,000

Answer:

Step-by-step explanation:

Plug the first equation into the second

[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]

y=-2(-15)-5

=30-5

=25

Answer:

$7400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 5000 × 0.04 × 12 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 4% per year

for 12 years is $ 2,400.00.

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.

Given :

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.

The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:

[tex]\rm I = PRT[/tex]

Given that time, T = 12 years

Rate, R = 4% = 0.04

Principal amount, P = $5000

Now, put the value of P, R, and T in the equation (1).

[tex]\rm I = 5000\times 0.04 \times 12[/tex]

I = $2400

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.

For more information, refer to the link given below:

https://brainly.com/question/13381098

Answer:

(x²+6x+8)

I hope this helps

Step-by-step explanation:

(x+2) (x+4)

(x²+4x+2x+8)

(x²+6x+8)

Answer:

[tex]P = 22.75[/tex]

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

[tex]LT^2 = LY^2 + TY^2[/tex]

Where:

[tex]LY = 5.2[/tex]

[tex]TY = 3.9[/tex]

The formula becomes:

[tex]LT^2 = 5.2^2 + 3.9^2[/tex]

[tex]LT^2 = 42.25[/tex]

Take positive square root of both sides

[tex]LT = \sqrt{42.25[/tex]

[tex]LT = 6.5[/tex]

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

[tex]NT:TY = LT:LY[/tex]

[tex]NT : 3.9 = 6.5 : 5.2[/tex]

Convert to fractions

[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]

Make NT, the subject:

[tex]NT = \frac{6.5}{5.2}*3.9[/tex]

[tex]NT = \frac{6.5*3.9}{5.2}[/tex]

[tex]NT = \frac{25.35}{5.2}[/tex]

[tex]NT = 4.875[/tex]

The perimeter (P) is then calculated as:

[tex]P = NT + LT + LI + NI[/tex]

Where

[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.

So:

[tex]P = NT + NT + LT + LT[/tex]

[tex]P = 2NT + 2LT[/tex]

Substitute values for NT and LT

[tex]P = 2*4.875 + 2*6.5[/tex]

[tex]P = 9.75 + 13.0[/tex]

[tex]P = 22.75[/tex]

Hence, the perimeter is 22.75 units

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

Answer:

¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800

Step-by-step explanation:

x : Número de DVD del modelo A

y : Número de DVD del modelo B.

                               MODELO A MODELO B TOTAL

Cantidad de caucho                  1x 1x                 50 kg.

Horas de mano de obra           1x 2x                 80 horas

U : Utilidad mensual.

La función objetivo, que se debe maximizar, es:

U=30   + 40y

x+ y [tex]\leq 50\\[/tex]  

x + 2y [tex]\leq 80[/tex]

x[tex]\geq 0[/tex]

y[tex]\geq 0[/tex]

Las coordenadas de los vértices de la región factibles son:

A (0, 0) B (50, 0) C (20, 30) D(0, 40)

Entonces, se evalúa la función objetivo en cada punto:

U (0, 0) = 30 (0) + 40 (0) = 0

U (50, 0) = 30 (50) + 40(0) = 1500

U (90, 0) = 30 (20) + 40 (30) = 1800

U (0, 40) = 30 (0) + 40 (40) =1600

Por consiguiente U tiene un valor máximo en C , en donde: x =20 ,  y = 30 .

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.

 30 x  40 y

s.a.



   x  0 (3)

  y  0 (4)

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

To know more about mid point formula, visit,

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#SPJ7

Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

(change in x) = 2 - (-1) = 3

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

To know more about linear function:

https://brainly.com/question/29205018

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Answer: no

Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)

Answer:

no :)

Step-by-step explanation:

because (2,23) and (3,23) have the same y function

hope this helps!

Answer:

x<100

Step-by-step explanation:

The given equation is :

x-19<81

Adding 19 to both sides of the equation.

x-19+19<81+19

x<100

It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.

Answer:

4 or 8

Step-by-step explanation:

Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

Answer:

I believe it is: 6n+8+7y+4m

Step-by-step explanation:

You can't do anything about the numbers with variables afterwards, so you just list those and you just add and subtract the numbers without variables.  Since the top and bottom are the same, you just list it once.  Sorry, not the best explanation.  Please let me know if I am wrong.  It's been a while since I had to any type of algebra.