A: x=59
B: x=73
C: x=87
D: x=93

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:

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:

D

Step-by-step explanation:

Given

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

x = - 5

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

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:

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:

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

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:

semi-regular tessellations

Step-by-step explanation:

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

Answer:

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

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:

D

Step-by-step explanation:

Answer:

can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.

Answer:

Step-by-step explanation:

angle y +60  = 180 degree (being adjacent angles of a trapezium )

angle y =180 - 60

angle y =120 degree

angle x+30 degree = 180 degree (being opposite angles of a trapezium)

angle x =180 - 30

angle x=150 degree

75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)

310 + y = 360

y = 360 - 310

y = 50 degree

========================================

Explanation:

Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.

Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.

Since angle 3 is 55 degrees,  angle 1 is also 55 degrees.

--------------

Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)

In other words,

(angle ABJ) + (angle ABF) = 180

angle ABF = 180 - (angle ABJ)

angle ABF = 180 - (angle 1)

angle ABF = 180 - (55)

angle ABF = 125 degrees

Answer:

5 units

sin(D)= 5/13

Step-by-step explanation:

i just did the question

Answer:

yehshjdjejrdjjej3u Rudd ixjje

Answer:

45

Step-by-step explanation:

9(4x + 5)

9*4x + 9*5

36x + 45

Answer:

Step-by-step explanation:

9*4x +9*5

= 36x + 45

Bye

:-)

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: 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.

Answer:

the 48

Step-by-step explanation:

fairly obvious

Answer:

9x and -4x

This is the answer

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:

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:

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:

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

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:

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.