Find the length of AC.

Given:

Given that the polygon has 4 sides with its exterior angles.

The exterior angles are 140°, 34°, 56° and x°

We need to determine the value of x.

Value of x:

We know that, the exterior angles of a polygon add up to 360°

Thus, we have;

[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]

Adding the terms, we have;

[tex]230^{\circ}+x=360^{\circ}[/tex]

Subtracting both sides of the equation by 230, we get;

[tex]x=130^{\circ}[/tex]

Thus, the value of x is 130°

Final answer:

The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.

Explanation:

The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.

First, we add the given angles:

140 degrees + 34 degrees + 56 degrees = 230 degrees

Next, we subtract the total from 360 degrees to get the value of x:

360 degrees - 230 degrees = 130 degrees

Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.

Answer:

Rational Numbers.

Step-by-step explanation:

These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.

Answer:

A. on edge

Step-by-step explanation:

Answer:

A) 3[tex]\sqrt[3]{3}[/tex]

Step-by-step explanation:

Hope this help, I got it right on Edge.

Answer:

Step-by-step explanation:

cos(3x)=cos (3x+2π)=cos (3x+360)

period for 3x=360°

period=360/3=120°

Final answer:

The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.

Explanation:

The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.

To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:

Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.

Answer:

8-12n

Step-by-step explanation:

We can name "a number,"  "n."

4(2-3n)

Distribute.

4*2=8

4*-3n=-12n

8-12n

Answer:

b

Step-by-step explanation:

i did jajajajajajaja jajajajjaja

the measure of angle X is [tex]\( 104^\circ \).[/tex]

To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:

Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]

Identify the two angles that are equal in the kite, which are angles X and Z.

Write the equation representing the sum of these angles and the given angle measures.

Solve for the measure of angle X.

Now, let's perform the calculation:

Equation representing the sum of the measures of all the angles in the kite:

[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]

Identify the two equal angles:

  Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]

Write the equation representing the sum of these angles and the given angle measures:

[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]

Solve for the measure of angle X:

[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]

So, the measure of angle X is [tex]\( 104^\circ \).[/tex]

The complete question is:

A scenic overlook which extends over a ravine is shaped like a kite.

Find mZX

A) 105°

B) 102°

C) 51°

D) 204°

Answer:

28.26

Step-by-step explanation:

3^2*3.14 = 28.26

To find area you square the radius and then multiply by 3.14 or π pi

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

To find the area of a circle, we can use the formula:

Area = π (radius)²

Given that the radius is 3 meters, we substitute this value into the formula:

Area = π(3²)

Area = 9π

Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:

Area ≈ 3.14 x 9

Area ≈ 28.26

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ6

Answer:

6211 c.u. ft.

Step-by-step explanation:

Answer:

621 11/16 cu. ft.

Step-by-step explanation:

This figure shows one way to decompose the shape.

Answer:

has a hemoglobin level between 9 and 11 is 0.284.

Step-by-step explanation:

Answer: -2,-22

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis, that is

( [tex]\frac{1}{3}[/tex], 0 )

The y- intercept is where the graph crosses the y- axis, that is

(0, 1 )

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition that f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Answer:

Step-by-step explanation:

Step 1: 1 angle 90

4 angle -> 360

Answer:

No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.

Answer:

statistical, not statistical, not statistical

Step-by-step explanation:

Answer:

1. statical, 2. not statical, 3. not statical

Step-by-step explanation:

Answer:

3:2 Three boxes next to two boxes.

Step-by-step explanation:

A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.

Given:

The interior angles of the triangle are 44°, 3t - 45° and x - 15°

The exterior angle of the triangle is 4t - 29°

We need to determine the value of x.

Value of t:

The value of t can be determined using the exterior angle theorem.

Applying the theorem, we have;

[tex]44+3t - 45=4t-29[/tex]

         [tex]3t - 1=4t-29[/tex]

        [tex]-t - 1=-29[/tex]

              [tex]-t=-28[/tex]

                [tex]t=28[/tex]

Thus, the value of t is 28.

Value of x:

The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.

Since, linear pairs add up to 180°, we have;

[tex]4t-29+x-15=180[/tex]

Substituting t = 28, we get;

[tex]4(28)-29+x-15=180[/tex]

  [tex]112-29+x-15=180[/tex]

                   [tex]x+68=180[/tex]

                           [tex]x=112[/tex]

Thus, the value of x is 112.

Answer:

0.67

Step-by-step explanation:

2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.  

Answer:

23

Step-by-step explanation:

here

9 and 14. are numbers

sum is 9 +14 = 23

Answer:

120 pens and 200 pencils

Step-by-step explanation:

Let the number of pencils bought be x while pens will be y.

Cost

Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y

The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x

Total cost is $220 hence expressed as

0.5x+y=220

Quantity

Since the number of pencils, x were more than number of pens, y by 80 pieces then

x=80+y

Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence

0.5(80+y)+y=220

40+0.5y+y=220

1.5y+40=220

1.5y=220-40=180

y=180/1.5=120

Since x=y+80 and y is found to be 120 then

x=120+80=200

Answer:

565.2 units²

Step-by-step explanation:

(162/360) × pi × r²

(162/360) × 3.15 × 20²

565.2

Answer:

The third answer

Step-by-step explanation:

(side note: You probably need to use a calculator that can calculate pi)

The formula to find the area of a circle is pi r squared.

In this case, pi times r squared is 19.63495....... continued

This is probably going to be rounded

so... 19.63

For all of the circles, this is multiplied by 4.

This is 78.52

The area of the square is 100 cm since 10 times 10 is 100

You take 100 cm and then subtract it by 78.54

Voila! now you have 21.46

This word problem doesn't make sense. Rephrase then I can solve.  I believe you need units for the 110.  I do not know what the 110 is.

Answer:

The y-intercept is 0

Step-by-step explanation:

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

Answer:

1.714285714285714 hours

Step-by-step explanation:

12/7

Answer:

I think its A

Step-by-step explanation:

Answered a question like that in my test

Answer:

A) V=2x4x5

Step-by-step explanation:

because im a helping hand

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Answer:

8.5

Step-by-step explanation:

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1