A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

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I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

992.39

 Step-by-step explanation:

sales tax was 80.46 subtract from 1072.85 get 992.39 original price.

Answer:

B A A

Step-by-step explanation:

Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

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Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

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Answer:

i think that the answer is y = 3x- 1

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer:

C. $126

Step-by-step explanation:

Let us say x is the amount of money Sky makes for babysitting 7 hours.

[tex]\frac{72}{4} =\frac{x}{7}[/tex]

[tex]\frac{72}{4} = 18[/tex]

[tex]18=\frac{x}{7}[/tex]

x=$126

Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]

Answer:

1. 12

2. 31

3. 37

4. 87

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

Answer:

In explanation below l

                                   v

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.  For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.