Find the value of x.
Round to the nearest tenth.
X
16
30°
30
x = [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Please need answer asap

Answer:

The measurement for x is 80°

Step-by-step explanation:

In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.

Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.

180 - 100 = 80

So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°

x = 80°

Responder:

Compruebe amablemente la explicación

Explicación paso a paso:

Dados los datos: 55, 51, 60, 56, 64, 56, 63, 63, 61, 57, 62, 50, 49, 70, 72, 54, 48, 53, 58, 66, 68, 45, 74, 65, 58, 61, 62, 59, 64, 57, 63, xx, xx

Los dos valores faltantes podrían ingresarse utilizando varios métodos, incluyendo la mediana, modal y el valor medio de los datos dados en la distribución.

Aquí usaremos el valor medio.

Media (m) de los datos = suma de la observación / número de observaciones Media =

(55 + 51 + 60 + 56 + 64 + 56 + 63 + 63 + 61 + 57 + 62 + 50 + 49 + 70 + 72 + 54 + 48 + 53 + 58 + 66 + 68 + 45 + 74 + 65 + 58 + 61 + 62 + 59 + 64 + 57 + 63) / 31 = 1844/31 = 59.4 = 59 (al número entero más cercano) Entonces reemplace los valores faltantes con 59.

En otro para hacer cálculos sobre los datos, hay que reorganizarlos.

Datos ordenados: 45,48,49,50,51,53,54,55,56,56,57,57,58,58,59,59,59,60,61,61,62,62,63,63,63, 64,64,65,66,68,70,72,74

Los cuartiles de datos:

Primer cuartil (Q1) = 1/4 (33 + 1) = 1/4 (34) = 8.5

Q1 = (8º + 9º) / 2 = (55 + 56) = 111/2 = 55,5

Segundo cuartil (Q2) = Q3 - Q1 = (25.5 - 8.5) = 17th = 59

Tercer cuartil (Q3) = 3/4 (33 + 1) = 3/4 (34) = 25.5 Q3 = (25 + 26) = (63 + 64) = 127/2 = 63.5

Rango intercuartil (IQR) = 63.5 - 55.5 = 8

Mediana = Q2 = 59

Mínimo = 45

Máximo = 74

Rango = 74-45 = 29

El quinto decil:

D5 = [5 (33 +1)] / 10 = 5 (34) / 10

D5 = 170/10 = 17º valor = 59

7mo decil: D7 = [7 (33 + 1)] / 10 = 7 (34) / 10

D7 = 238/10 = 23.8 ° término D7 = 63

Percentil:

Percentil 13 (13% × 33) = 0.13 × 33 = 4.29

4to término = 50

Percentil 76: (76% × 33) = 0.76 × 33 = 25.08

25 ° término = 63

Answer:

D = 9.80

Step-by-step explanation:

To find AB, we'll use the distance formula:

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]

D = [tex]\sqrt{(9)^2+(-4)^2}[/tex]

D = [tex]\sqrt{81+16}[/tex]

D = [tex]\sqrt{96}[/tex]

D = 9.80 (Upto 3 sfs)

Answer:

f(x) = |x + 4| + 2.

Step-by-step explanation:

When you shift the function to the left, the x-value changes, so you put the change within the absolute value. Also, within the absolute value, when you shift things to the right, you minus, and when you shift to the left, you add.

When you shift the function up, the y-value changes, so you put the changes outside of the absolute value. Shifting up means adding and shifting down means subtracting.

Hope this helps!

Answer:

in my own reasoning not sure if I am correct

Step-by-step explanation:

first it said Tim score was 5/2 of the of the average score

and the average score is 60

so that will be 5/2 × 60 which is

= 150

Answer:

No

Step-by-step explanation:

1.25 as a percentage is 125%.

25% as a decimal is 0.25.

Answer:

Volume = 240 feet³

Step-by-step explanation:

We'll find it's volume

Volume = [tex]Lenth *Width*Height[/tex]

Where Length = 4, Width = 6, Height = 10

Volume = 4 * 6 * 10

Volume = 240 feet³

Answer:

x = 12.5

Step-by-step explanation:

Since measure of 4th arc is not given (measure of 3 arcs have been given), we will apply the following theorem.

By the intersecting chords theorem,

"If two chords intersecting inside a circle, measure of the angle between these chords will measure the half the sum of measures of arcs intercepted by the angle and its vertical angle."

Here intercepted arcs are (2x)° and 155°. Angel between the chords measure 90°.

By the theorem,

90° = [tex]\frac{1}{2}(2x + 155)[/tex]°

180° = (2x + 155)°

2x = 180 - 155

2x = 25

x = 12.5

Answer:

A

Step-by-step explanation:

I literally don't know how to explain this

Answer:

so turn it into the other form:

2x+4y=-8

4y=-2x-8

y=-0.5-2

then:

a) y=-0.5x+44

b) y=-0.5x-2 (itself)

c) y=-55x-2 (they cut each other in (0,-2)

Answer:

AngleASZ Is-congruent-to AngleZSB

Step-by-step explanation:

The incenter of a triangle is a point inside a triangle that is equidistant from all the sides of a triangle. The incenter is the point formed by the intersection of all the three angles of the triangle bisected. The lines drawn from the incenter to the sides of the triangle forming right angles to the sides are congruent.

If Point Z is equidistant from the sides of ΔRST, point Z is the incenter of triangle RST. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. This lines are therefore congruent to each other, i.e. ZA = ZB = ZC.. Since the angles of the sides of the triangles are bisected to form the incenter, therefore:

AngleASZ Is-congruent-to AngleZSB

Answer:

AngleASZ Is-congruent-to AngleZSB

Step-by-step explanation:

D is the correct answer

Answer:

Yes, she is correct.

Step-by-step explanation:

[tex]3x+5=64\\\\3x+5-5=64-5\\\\3x=59\\\\\frac{3x}{3}=\frac{59}{3}\\\\ \frac{59}{3}=19\frac{2}{3}\\\\19\frac{2}{3}=19.666...\\\\ \text{Therefore}:\\x=\boxed{19.666...}[/tex]

The digit of 6 is repeating.

Answer:

on the dive boat deck

Step-by-step explanation:

Answer:

the above is right

Step-by-step explanation:

Answer:

A: 71,235,000

B: 71,235,00

C: 71,240

Step-by-step explanation: Round by thousands, hundreds and tens.

Answer:

y - 1 = 0.

Step-by-step explanation:

First off, we need to find the slope between the two points. That would be (1 - 1) / (2 - -2) = 0 / 4 = 0.

So, we would have an equation y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, we have y = 0x + b, or y = b.

If you examine the coordinates, y always equals 1. So, b = 1, and y = 1.

y = 1

y - 1 = 0.

Hope this helps!

Answer:

  18x +16y +4

Step-by-step explanation:

The area is the product of length and width, so the length is ...

  A = LW

  L = A/W = (72xy +18x)/(9x) = 8y +2

The perimeter is double the sum of length and width:

  P = 2(L +W) = 2(8y +2 +9x)

  P = 18x +16y +4 . . . . the perimeter of the sandbox

Answer:

  no

Step-by-step explanation:

In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...

  y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4

In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...

  r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3

Based on side lengths only, the triangles cannot be similar.

__

Additional note

Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.

Answer:

0.6 then calculate which expression is equal to that

Step-by-step explanation:

arccos = cos^-1

Put that in calculator

Answer: The height is 6 meters

Step-by-step explanation:

3 * 2 *h = 36   where h is the height

6h = 36

h = 6

Answer:

The answer is 6

Step-by-step explanation:

Because you would have to get 6h=36 alone so you would have to divide 6 by both sides. which gives you h=6

Answer:

[tex]C =8t+16\\7\ hours[/tex]

Step-by-step explanation:

Given that, Fixed charge = $16

Per hour charge for renting the bike = $8/hour

To find:

If Matt paid $72 to rent a bike, for how many hours did he rent the bike?

Solution:

Let 't' be the time for which Matt rents the bike.

1 hour charge for the bike rent = $8

't' hour charge for the bike rent = $8 [tex]\times t[/tex]

Total Charge for the bike = Charge for renting the bike for t hours + fixed charge

Let 'C' be the total charge, so the equation becomes:

[tex]C = 8t + 16[/tex]

Given that C is $72, we need to find t:

[tex]72 = 8t+16\\\Rightarrow 8t=72-16\\\Rightarrow 8t=56\\\Rightarrow t = 7\ hours[/tex]

So, he rented the bike for 7 hours.

The equation is: [tex]C = 8t + 16[/tex]

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

Answer:

The Slope is 5

Step-by-step explanation:

As seen in the y-intercept equation, 5x is shown as the slope of the line.

Answer:

D. Cost

Step-by-step explanation:

In a scatter diagram we have that the x axis corresponds to the explanatory variable or also called the independent variable, since it is the value that is entered in the equation and does not depend on another.

While the y-axis corresponds to the response variable or also called the dependent variable since it is the value of the result of the equation

In this case, the explanatory variable is weight, that is, on the x-axis the weight would go and the cost is the response variable and would go on the y-axis, therefore, the answer is D. Cost

Answer:

nonlinear

Step-by-step explanation:

The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line

The graph is nonlinear because it is not a straight line.

please mark me brainliest!

Answer:

Nonlinear.

Step-by-step explanation:

Since x is being squared, the equation is actually a parabola. The power of x has to be 1 for the function to be a linear function, so this equation is nonlinear.

Hope this helps!

Answer:

0.75 or 3/4

Step-by-step explanation:

If we call the common ratio r, since 4 - 1 = 3 we can write:

64 * r³ = 27

r³ = 27/64

r = ∛(27/64) = ∛27 / ∛64 = 3 / 4

Answer:

(a) the common ratio = 3/4.

Step-by-step explanation:

First term a1 = 64

The fourth term a4 = a1 r^3 = 27

So a1 r^3 / a1 = 27/64

r^3 =  (27/64)

r = ∛ (27/64

= 3/4.

Answer:

Option (B)

Step-by-step explanation:

Picture attached shows a table having 4 columns,

Column 1). Name of products

Column 2). Quantity of each item

Column 3). Unit price of each item.

Column 4). Total value of each item.

8.00 lies in the column (3) which represents the price of each V-neck Ryan bought.

Therefore, Option (B) will be the answer.

Answer:

B

Step-by-step explanation:

had this question also

Answer:

A.

Step-by-step explanation:

Since g(x) is the graph of f(x) but vertically stretched, the only viable option is g(x) = 2x² because the rest of the equations are vertically shrunk.

Answer:

4

Step-by-step explanation:

Angle 2 and angle 4 are vertically opposite angles.

Vertically opposite angles are equal.

Answer:

the angle that is congruent to <2 is <4.

Step-by-step explanation:

They are vertical angles, therefore congruent

Answer:

The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).

Step-by-step explanation:

Each vertex can be represented as a vector with regard to origin.

[tex]\vec X = -4\cdot i + 7\cdot j[/tex], [tex]\vec Y = 6\cdot i + 2\cdot j[/tex] and [tex]\vec Z = 3\cdot i -8\cdot j[/tex].

The magnitudes and directions of each vector are, respectively:

X:

[tex]\|\vec X\| = \sqrt{(-4)^{2}+7^{2}}[/tex]

[tex]\|\vec X\| \approx 8.063[/tex]

[tex]\theta_{X} = \tan^{-1}\left(\frac{7}{-4} \right)[/tex]

[tex]\theta_{X} \approx 119.744^{\circ}[/tex]

Y:

[tex]\|\vec Y\| = \sqrt{6^{2}+2^{2}}[/tex]

[tex]\|\vec Y\| \approx 6.325[/tex]

[tex]\theta_{Y} = \tan^{-1}\left(\frac{2}{6} \right)[/tex]

[tex]\theta_{Y} \approx 18.435^{\circ}[/tex]

Z:

[tex]\|\vec Z\| = \sqrt{3^{2}+(-8)^{2}}[/tex]

[tex]\|\vec Z\| \approx 8.544[/tex]

[tex]\theta_{Z} = \tan^{-1}\left(\frac{-8}{3} \right)[/tex]

[tex]\theta_{Z} \approx 290.556^{\circ}[/tex]

Now, the rotation consist is changing the direction of each vector in [tex]\pm 90^{\circ}[/tex], which means the existence of two solutions. That is:

[tex]\vec p = r \cdot [\cos (\theta \pm 90^{\circ})\cdot i + \sin (\theta \pm 90^{\circ})\cdot j][/tex]

Where [tex]r[/tex] and [tex]\theta[/tex] are the magnitude and the original angle of the vector.

Solution I ([tex]+90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}+90^{\circ})\cdot i + \sin (119.744^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = -7\cdot i -4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}+90^{\circ})\cdot i+\sin(18.435^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = -2\cdot i +6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}+90^{\circ})\cdot i +\sin(290^{\circ}+90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = 8.029\cdot i +2.922\cdot j[/tex]

Solution II ([tex]-90^{\circ}[/tex])

[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}-90^{\circ})\cdot i + \sin (119.744^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{X} = 7\cdot i +4\cdot j[/tex]

[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}-90^{\circ})\cdot i+\sin(18.435^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Y} = 2\cdot i -6\cdot j[/tex]

[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}-90^{\circ})\cdot i +\sin(290^{\circ}-90^{\circ})\cdot j][/tex]

[tex]\vec p_{Z} = -8.029\cdot i -2.922\cdot j[/tex]

The rotated vertices are: i) X' = (-7,-4), Y' = (-2,6), Z'=(8.029, 2.922) or ii) X' = (7,4), Y' = (2,-6), Z' = (-8.029, -2.922). The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).

Answer:c. F(2)=g(-2)

Step-by-step explanation: