Find the value of LM and LN if M is between L and N.

LM = 7x + 4, MN = 20, LN = 10x

5^-2 * 5x = 1

Simplify:

5^-2 = 1/25

Now you have 1/25 * 5x = 1

1/25 x 5 = 1/5

1/5x = 1

Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)

x - 1 x 5/1 = 5

X = 5

Answer:

x = 5

Step-by-step explanation:

This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:

  5x                           x

--------- = 1,  or          ----- = 1

  5^2                          5

Cross-multiplying, we get x = 5

Answer:

273 - 153.94 = 119.1 [tex]in^{2}[/tex]

Step-by-step explanation:

area of a trapezoid - area of a circle = shaded area

Answer:

B y = x² +9

Step-by-step explanation:

A quadratic function must have the highest power of x being x^2 and must have an x^2 term

A y = X-9  - linear

B y = x² +9 quadratic

C y = x + 2x -9 - linear

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

Answer:

the 48

Step-by-step explanation:

fairly obvious

Answer:

The answer is x=2-(y/2)

Step-by-step explanation:

Answer:

2 - y/2

Step-by-step explanation:

12x + 6y = 24

=> 12x = 24 - 6y

=> x = (24 - 6y)/12

=> x = 24/12 - 6y/12

=> x = 2 - y/2

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

[tex]\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]

[tex]\implies \sf{Sin\theta = \dfrac{7}{11}}[/tex]

[tex]\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}[/tex]

[tex]\implies \sf{\theta = 39.52^{\circ}}[/tex]

Answer : The measure of ∠C to the nearest degree is 38°

Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

Answer:

5 units

sin(D)= 5/13

Step-by-step explanation:

i just did the question

Answer:

semi-regular tessellations

Step-by-step explanation:

Answer:

La distancia de C con respecto a A es de 197.788 metros.

Step-by-step explanation:

A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:

[tex]\frac{AB}{\sin C} = \frac{AC}{\sin B}[/tex] (1)

Si sabemos que [tex]B = 57^{\circ}[/tex], [tex]C = 58^{\circ}[/tex] y [tex]AB = 200\,m[/tex], entonces la longitud del segmento AC es:

[tex]AC = AB\cdot \left(\frac{\sin B}{\sin C} \right)[/tex]

[tex]AC = (200\,m)\cdot \left(\frac{\sin 57^{\circ}}{\sin 58^{\circ}} \right)[/tex]

[tex]AC = 197.788\,m[/tex]

La distancia de C con respecto a A es de 197.788 metros.

Answer:

D

Step-by-step explanation:

Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.

Step-by-step explanation:

=8^5×8×8^2

=32768×8×64

=16777216

hope it helps

Answer:

[tex] {8}^{5} \times 8 \times {8}^{2} = 16777216[/tex]

Step-by-step explanation:

[tex] {8}^{5} = 32768[/tex]

[tex]8 = 8[/tex]

h

that is all

Answer:

Area of the rectangle = x² - 3x - 10

2019

Step-by-step explanation:

Length of the rectangle = x + 2

Width of the rectangle = x - 5

Area of the rectangle = length × width

= (x + 2) (x - 5)

= x² + 2x - 5x - 10

= x² - 3x - 10

Area of the rectangle = x² - 3x - 10

C = 20t² + 135t + 3050

Where

C = the number of new cars

t = year the number of new cars was purchased

t = 0 corresponds to 1998

Find the when c = 15,000

C = 20t² + 135t + 3050

15,000 = 20t² + 135t + 3050

20t² + 135t + 3050 - 15,000 = 0

20t² + 135t - 11,950 = 0

4t² + 27t - 2390 = 0

Solve using quadratic equation

t = -b ± √b² - 4ac / 2a

= -27 ± √27² - 4(4)(-2390) / 2(4)

= -27 ± √729 -(-38240) / 8

= -27 ± √729 + 38240 / 8

= -27 ± √38969 / 8

= -27/8 + √38969/8 or 27/8 - √38969/8

= -3.375 + 197.41/8 or -3.375 - 197.41/8

= -3.375 + 24.67625 or -3.375 - 24.67625

t = 21.30125 or - 28.05125

t cannot be negative

Therefore,

t = 21.30125

To the nearest whole number

t = 21

Recall,

t = 0 corresponds to 1998

Therefore

1998 + 21 = 2019

c = 15,000 in the year 2019

Answer:

The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-

Answer:

x=28

Step-by-step explanation:

Hi there!

SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)

First, we need to find the ratio of similitude.

We need to assume that the triangles are similar.

15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)

so that means 15/20 must make the ratio of similitude

15/20 is equal to 3/4

therefore k=3/4

as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)

therefore, 21/x=k

Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)

3/4=21/x

cross multiply

3x=84

divide both sides by 3

x=28

So that means that 28 will make the triangles similar by SSS similarity

*you double check by doing 21/28 and see that it's also equal to 3/4

Hope this helps!

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

[tex]7 \leq \frac{a}{3}[/tex]

[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

Answer:

yehshjdjejrdjjej3u Rudd ixjje

Answer:

342,1875

Step-by-step explanation:

Dado

Precio de compra del artículo = 219

Precio de venta cuando el descuento dado es 25% = 219 + 0,25 * 219 = 273,75

Para otorgar un descuento del 25%, este producto debe estar marcado a un precio un 25% más alto que los precios de venta = 273,75 + 0,25 * 273,75 = 342,1875

Queremos saber a que precio debe fijarse un articulo para que cuando le hagamos un descuento del 25%, aun tengamos una ganancia del 25% del costo del articulo.  Veremos que el precio que cumple los requerimentos es $365.

Veamos como resolver el problema:

Sabemos que el costo del articulo es $219. Queremos vender este articulo a precio P.

Cuando vendamos este articulo con un descuento del 25%, queremos obtener una ganancia del 25%, entonces debemos resolver:

P*(1 - 0.25) = $219*(1 + 0.25)

P*0.75 = $219*1.25

P = ($219*1.25)/0.75 = $365

Así, podemos concluir que el precio que debe fijarse para cumplir los requisitos es $365.

Sí quieres aprender más, puedes leer:

https://brainly.com/question/8742631

Answer:

3/20

Step-by-step explanation:

Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.

Hope this helps.

Answer:

5

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

if I understand the question correctly, then the Hypotenuse c is here 7.

=>

7² = (2×sqrt(6))² + b²

49 = (4×6) + b²

49 = 24 + b²

25 = b²

b = 5

Step-by-step explanation:

-a-7a/8

-8a-7a/8

-15a/8

Hope it helps you

Answer:

Step-by-step explanation:

WE have to find the least common denominator and it is 8

[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]

Answer:

1:3. That's the answer to this question.

Answer:

x2 - 2x +1

x2 - 1x -1x +1

(x2 - 1x) - (1x+1)

x(x-1) -1 ( x - 1)

(x - 1) (x - 1)

Answer:

y=2x+1

Step-by-step explanation:

Hi there!

We are given the slope (m), which is 2, as well as the point (5,11).

We need to find the equation of the line.

There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

We're already given the slope (2), so we can substitute it into the equation right away

here's the equation so far:

y=2x+b

now we need to find b.

We can do this by plugging (5,11) into the equation, as the line passes through that point.

Substitute x as 5 and 11 as y

11=2(5)+b

multiply

11=10+b

subtract 10 from both sides

1=b

substitute 1 as b into the equation

y=2x+1

Hope this helps! :)

Answer:

D

Step-by-step explanation:

Given

x + 3 = - 2 ( subtract 3 from both sides )

x = - 5

Answer:

9x and -4x

This is the answer

Answer:

x ≤ 3

Step-by-step explanation:

The vertical line at x = 3 is solid and shaded to the left

Therefor

x ≤ 3

Answer:

x≤3

Step-by-step explanation:

There is a solid line at x =3

The graph is shaded to the left and includes the solid line

x≤3