Solve for x. Round to the nearest tenth of a degree, if necessary

Angle D = ABC arc / 2

x + 100 = ABC arc / 2

ABC arc = 2 × ( x + 100 )

ABC arc = 2x + 200 ( ♡ )

_________________________________

Angle B = ADC arc / 2

3x = ADC arc / 2

ADC arc = 2 × 3x

ADC arc = 6x ( ☆ )

_________________________________

ABC arc + ADC arc = 360

( ♡ ) , ( ☆ ) :

( 2x + 200 ) + ( 6x ) = 360

8x + 200 = 360

8x = 360 - 200

8x = 160

x = 160/8

x = 20

____________________________

Thus :

Angle A = 5(20) - 3 = 97 degrees

Angle B = 3(20) = 60 degrees

Angle D = 20 + 100 = 120 degrees

____________________________

Sum of the interior angles of any four-sides figures are equal 360 degrees ,

Thus :

Angle A+Angle B+Angle C+Angle D = 360

97 + 60 + Angle C + 120 = 360

Angle C + 120 + 157 = 360

Angle C + 277 = 360

Angle C = 360 - 270 - 7

Angle C = 90 - 7

Angle C = 83 degrees

Answer:

v = pi r² h

Step-by-step explanation:

thats the answer

Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]

One case will hold [tex]38[/tex] Umbrellas

Number of cases required to hold all the Umbrellas are

[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]

Thus, 42 packs are required to hold all the Umbrellas

THE ANSWER

IS

h(3) = -2(3) + 8 = -6+8 = 2

Step-by-step explanation:

hope it helps

Answer:

5x=17+33

5x=50

x=10

Have a great day!

Answer:

182

Step-by-step explanation:

-5(-33)+17

165+17

=182

Answer:

2

Step-by-step explanation:

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  

where p and q are the two diagonals  

Volume of a pyramid = 1/3 x ( length base x height)

Answer:

Approximately 7.16 in

Step-by-step explanation:

Hi there!

Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius

Plug in the given area 161 in.²

[tex]161=\pi r^2[/tex]

Divide both sides by π to isolate r²

[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]

Take the square root of both sides to isolate r

[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]

Therefore, the radius of the circle is approximately 7.16 in.

I hope this helps!

Answer:

46.67 in

46.67 in

Step-by-step explanation:

the value of the hypotenuse (length of the ladder ) is given. We are to determine the value of the opposite side (distance from the ground) and adjacent side ( distance from the wall)

(distance from the ground = sin 45 = opposite / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67

distance from the wall = cos 45 = adjacent / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67

Answer:

No

Step-by-step explanation:

Technically, if you didn't turn anything in then no. If it is truly 80% of your final grade then not turning anything in would drop your grade to an F immediately. Although for a single project to be worth 80% of the entire year's grade seems off. Usually, finals and projects are a large percentage, but are more around the 25% range and not 80%. Otherwise, a student could not do anything the entire year and simply do the project and still pass with a B. That is why the grading system is not usually designed like this.

Answer:

Step-by-step explanation:

a=180 -75

a=105 degree

Answer:

r = 7

y = -2

Step-by-step explanation:

9r + 2y = 59 (Multiply this by 5)

2r + 5y = 4   (Multiply this by -2)

45r + 10y = 295

-4r - 10y = -8

41r = 287

r = 7

2r + 5y = 4

2(7) + 5y = 4

14 + 5y = 4

5y = 4 - 14

5y = -10

y = -2

Answer:

Step-by-step explanation:

=4/7-3/7

=4-3/7

=1/7

Answer:

Step-by-step explanation:

así que lo primero que harías es ... alinearlos así ...(el primer archivo)

Entonces para solucionarlo ...(El segundo archivo).

¡Espero que esto sea correcto y ayude!

Answer:

.15 meters

Step-by-step explanation:

answer is B

Step-by-step explanation:

150 mm is 0.15 metres

Answer:

The range is {7, 11, 15, 19}

Step-by-step explanation:

Substitute the domain values in the formula

2x + 1

2(3) + 1 = 7

2(5) + 1 = 11

2(7) + 1 = 15

2(9) + 1 = 19

Answer:

35th term = 209

Step-by-step explanation:

The sequence is 5+6...+6

So since 5 is the first term, we add 34 times 6 in order to find the 35th term

5 + 34*6 = 209

Answer:

5/8

that's mah answer tht is correct

Answer:

y = 12

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 4 when x = 6, then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

When x = 2 , then

y = [tex]\frac{24}{2}[/tex] = 12

Answer:

1036

Step-by-step explanation:

Answer:

1036

Step-by-step explanation:

298 + 738 = ?

→ 298 + 738

→ 1036

Answer:

A

Step-by-step explanation:

just add all of them and divide it by six.

Answer:

y- intercept = - 1

Step-by-step explanation:

To find the y- intercept , let x = 0 in the equation and evaluate for y

y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1

y- intercept = - 1 or (0, - 1) in coordinate form

Answer:

Plug x=0 into the equation and solve the resulting equation

The y-intercept:

3x^2 + 2x - 1

3(0)^2 + 2x(0)- 1

0+0-1

-1

y=−1 is intercept for y  

(0,−1)

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1 is the formula

-2-(-1)/-6-(-8) = -1/2

Hope this helps.

Answer:

First box-time

Second box-distance

Third box-correlation

Step-by-step explanation:

Horizontal is along the bottom.

Vertical in going up.

Correlation shows the relation between the horizontal and vertical axis.

Answer:

Border City is 1488 Miles

Step-by-step explanation:

Do 248*6

We need to determine the equation of the circle graphed in the attachment. Firstly we know the Standard equation of a Circle as ,

[tex]\sf\implies (x-h)^2+(y-k)^2 = r^2[/tex]

Let's find out the radius . As ,

[tex]\sf\implies r = \sqrt{ ( 6-4)^2+(2+2)^2} \\\\ \sf\implies r =\sqrt{ 2^2 + 4^2}\\\\\sf\implies r = \sqrt{ 4 + 16 }\\\\\sf\implies \red{r =\sqrt{20}}[/tex]

Substituting the respective values :-

[tex]\implies ( x - 4 )^2 + \{y - (-2)\}^2 = (\sqrt{20})^2 \\\\\sf\implies ( x - 4 )^2 + \{y + 2 \}^2 = 20 \\\\\sf\implies x^2+16-8x + y^2+4+4y = 20 \\\\\sf\implies \red{x^2+ y^2 - 8x + 4y = 0 }[/tex]

[tex]\boxed{\pink{\tt Equation \to x^2+ y^2 - 8x + 4y = 0 }}[/tex]

Answer:

74.1

Step-by-step explanation:

74.05 rounds to 74.1

Answer:

18.57 centimeters

Step-by-step explanation:

angle 4

110-180

=70

angle 5

angle = 110

angle 6

110-180=

70

Answer:

Step-by-step explanation:

angle 4+angle 3=180 degree(being linear pair)

angle 4+110=180

angle 4=180-110

angle 4=70 degree

angle 4=angle 5(being alternate interior angle)

70 degree=angle 5

angle 5+angle 6=180 degree(being linear pair)

70+angle 6=180

angle 6=180-70

angle 6=110 degree