can someone tell me plis how are they equivalent ?

Answer: d.

2x + x = 180: 60°and 120°

Step-by-step explanation:

Let x= one of the supplements.  (smaller)

As per given , measure of second angle = 2x

We know that,

The sum of two supplements = 180 degrees

Then,

smaller angle + larger angle =180°

i.e. x+2x = 180°

3x= 180°

x=60°

then, 2x = 2 (60°) = 120°

hence, the correct option is d.

2x + x = 180: 60°and 120°

Answer:

B

Step-by-step explanation:

we have to subtract the volume of the biggest one from the volume of the smallest one

for find the volume it is used the radius, not the diameter

Answer:

2 cm

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

It's asking me to write 20 words so blah blah blah.

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

Answer:

Option (2)

Step-by-step explanation:

Given geometric sequence is,

2, 5, 12.5, 31.25, 78.125......

First term = a₁ = 2

Common ratio of the sequence = r = [tex]\frac{5}{2}[/tex]

                                                          = 2.5

Recursive formula of a geometric sequence is given by,

[tex]a_n=a_{n-1}(r)[/tex]

Here, [tex]a_n=[/tex] nth term of the sequence

[tex]a_{n-1}=[/tex] (n - 1)th term

r = common ratio

Therefore, recursive formula for the given sequence will be,

[tex]a_1=2[/tex]

[tex]a_n=a_{n-1}(2.5)[/tex]

Explicit formula of a geometric sequence is given by,

[tex]a_n=a_1(r)^{n-1}[/tex]

Therefore, explicit formula of the sequence will be,

[tex]a_n=2(2.5)^{n-1}[/tex]

Option (2) will be the correct option.

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Answer:

Step-by-step explanation:

Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120

Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60

Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.

Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget

Answer:

may be the answer is g(4a)

Step-by-step explanation:

g(4a) = 2/(4a +3)

't' is replaced by '4a'.

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

so I think the answers ~ Garrett finishes his homework at 6:05.

only thats not an option so choose E because its the closest

hopefully this helps!!!

Answer:

Morgan (17.06 secs)

Step-by-step explanation:

Jackie, morgan, Kylie and chung ran the 100 meter dash race

Jackie finished the race in 17.6 secs

Morgan finished the race in 17.06 secs

Kylie finished the race in 17.66 secs

Chung finished the race in 17.066 secs

Hence Morgan finished the race in the least amount of time in 17.06 seconds

Answer:

slope = 3/7

Step-by-step explanation:

To find slope we need two coordinates from the line.

Let it be (-7, 0) and (3, 0)

[tex]slope, m = \frac{y_2-y_1}{x_2-x_1}= \frac{3-0}{0--7} = \frac{3}{7}[/tex]

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

Answer:

the middle one

Step-by-step explanation:

Answer:

79 is the value

Step-by-step explanation:

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

Answer: B. 1

Step-by-step explanation: A common factor is something that two or more numbers have in common. It is 1 because you multiply 1 by 1 to get 1, and 1 by 2 to get 2.

(1 by 1) = 1

(2 by 1) = 2

These two numbers have the number 1 in common because both 1 and 2 can only be multiplied by 1 and itself to get the number. (That is also what you call prime numbers.)

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

Answer:

C

Step-by-step explanation:

Answer:

I believe the answer is B and C

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Answer:

168 girls

Step-by-step explanation:

420 × 0.40

= 168

Answer:

Step-by-step explanation:

no of students=420

girls percentage=40%

no of girls=40/100*420

=16800/100

=168

therefore number of girls is 168.

Answer:

IQR = 3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box , that is Q₃ = 62.5

Q₁ is the value at the left side of the box. that is Q₁ = 59.5

Then

IQR = Q₃ - Q₁ = 62.5 - 59.5 = 3