2x – 5x + 16 = –3(x – 6)

Answer:

x = 25 and x = 47

Step-by-step explanation:

(9)

The given angles are vertical and congruent , then

2x + 10 = 60 ( subtract 10 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

(10)

The given angles are vertical and congruent , then

2x + 6 = 100 ( subtract 6 from both sides )

2x = 94 ( divide both sides by 2 )

x = 47

Answer:

they re equal their for you can divide

Step-by-step explanation:

Answer:

E. b + u = 21

Step-by-step explanation:

b = (bicycles)

u = (unicycles)

The Question gives you the answer.

" the number of bicycles plus the number of unicycles is 21"

*put as an equation*

b + u = 21

<3 Enjoy,

    Dea

this is the correct answer

Answer:

3/20+4/19= 137/380

Answer:

28

Step-by-step explanation:

first u add 3 + 3 which is 6 then 6 + 4 which is 10 then 10 + 5 is 15 then 15 + 6 is 21 and finally 21 + 7 is 28

Answer:

D

Step-by-step explanation:

The horizontal cross-sections of the prisms which is at same height as the cone should have same area.

Therefore Option D is the answer.

A cone is a three dimensional figure that has a circular horizontal structure ,  and vertically tapering up till a point.

It is given that

A Pyramid and a cone both have same volume.

Height of cone is same as Height of Pyramid .

Volume of cone = (1/3)πr²h

Volume of a pyramid =  Area of base * h

When both the volume are equated

as height is same

The Area of the base of the cone =  Area of the base of the Pyramid

The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.

Therefore Option D is the answer.

To know more about Cone

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Answer:

x=6

Step-by-step explanation:

Kindly look at the image provided below.

The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.

The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.

So ∠FHG = 1/2 ( arc FG + arc EB )

* substitute the given expressions for each angle and arc *

we would then have

15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )

We now solve for x

Step 1 multiply each side by 2

1/2 ( -2 + 12x + 16x + 10 ) *2  = ( the 2 and 1/2 cancels out )  -2 + 12x + 16x + 10

(15x - 2 )2 = 30x - 4

we now have -2 + 12x + 16x + 10 = 30x - 4

step 2 combine like terms

-2 + 10 = 8

12x + 16x = 28x

now we have 30x - 4  = 28x + 8

step 3 add 4 to each side

-4 + 4 cancels out

8 + 4 = 12

Now we have 30x = 28x + 12

step 4 subtract 28x from each side

30x - 28x = 2x

28x - 28x cancels out

now we have 2x = 12

step 5 divide each side by 2

2x / 2 = x

12 / 2 = 6

we're left with x = 6

Answer:

volume = 84

Step-by-step explanation:

simple: volume = base x height

6 x 14 = 84

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

Answer:

See answers below;

Step-by-step explanation:

Find the diagram attached

12) Given the following

m<EF = 3x - 6

m<GF = 15x - 30

From the diagram, arcEf and arcGF are supplementary. Hence;

arcEF + arcGF = 180

3x - 6 + 15x - 30  = 180

18x - 36 = 180

18x = 180 + 36

18x = 216

x = 216/18

x = 12degrees

arcEF = 3x-6

arcEF = 3(12) - 6

arcEF = 36 - 6

arcEF = 30degrees

arcGF = 180 - aecEF

arcGF = 180 - 30

arcGF = 150degrees

Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees

arcDFG = arcDG+arcGF

arcDFG = 30 + 150

arcDFG = 180degrees

13) arcMN = arcQP (vertical angles)

12x-5 = 6x+3

Collect like terms

12x - 6x = 3 + 5

6x = 8

x = 8/6

x = 1.3

arcMN =12x - 5

arcMN = 12(8/6) - 5

arcMN = 16 - 5

arcMN = 11degres

arcNP = 180 - arcMN

arcNP = 180 - 11

arcNP = 169degrees

Since arcNQP lies on straight line, hence arcNQP is 180degrees

Answer:

Step-by-step explanation:

The first thing they did was factor the denominators

so

x²-3x+2= (x-1)(x-2)

and

x²-1= (x-1)(x+1)

To add two fractions their denominators need to be the same

to accomplish this they mulitpied both sides of the fraction

after that they mulitplied what was in the numerator and combined like terms

Because the denominator cannot equal 0 x≠ -1, 1, 2

Answer:

You can use the time value of money formula.

FV = PV(1 + r)^n

FV = future value

PV = present value

r = interest rate = percentage/100

n = number of compounding periods

FV = 500*(1 + 0.075)^10 = $ 1030.52

Answer:

the value for x=50

Step-by-step explanation:

180=74+56+x

180=130+x

x=50

Answer:

It's the last option, (a-c)√x + b√y

Step-by-step explanation:

Answer:

5 + 2x = 5x + 4

-2x             -2x

5 = 3x + 4

-4          -4

1 = 3x

Divide by 3 on both sides.

1/3 = x

Answer:

it's area is 1/2 b×h

1/2×7×3.8

13.3

Answer:

13.3 ft^2

Step-by-step explanation:

area = base x h / 2

A = 7 x 3.8 / 2

A = 26.6 / 2

A = 13.3 ft^2

Answer:

what is the question dudd

Answer:

cos(θ) =  -3/√10

sin(θ) =   1/√10

tan(θ) =  -1/3

Step-by-step explanation:

When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

tan(θ) = y/x

Now we have the point (-3, 1), then we have:

x = -3

y = 1

√(x^2 + y^2) = √((-3)^2 + 1^2) = √10

Then we just need to replace these values in the given formulas:

cos(θ) = x/(√(x^2 + y^2)) = -3/√10

sin(θ) = y/(√(x^2 + y^2)) =  1/√10

tan(θ) = y/x = 1/-3 = -1/3

Answer:

a. 10^- 3

b. 10^- 7

c. 10^- 8

d. 10^- 9

e. 1 / 10^6

a.

1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 )

= 1 / 1000

= 1 / 10^3

= 10^- 3

b.

1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )

= 1 / 10000000

= 1 / 10^7

= 10^- 7

c.

( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2

= ( 1 / 1000 )^2

= ( 1 / 10^3 )^2

= ( 10^- 3 )^2

= 10^( - 3 x 2 )

= 10^- 6

d.

( 1 / 10. 1 / 10. 1 / 10 )^3

= ( 1 / 1000 )^3

= ( 1 / 10^3 )^3

= ( 10^- 3 )^3

= 10^( - 3 x 3 )

= 10^- 9

e.

( 10. 10. 10. )^- 2

= ( 10^3 )^- 2

= ( 1 / 10^3 )^2

= 1 / 10^( 3 x 2 )

= 1 / 10^6

Answer: y = 9

Step-by-step explanation:

an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)

i used the desmos graphing calculator website to graph it

Answer:

46mi

Step-by-step explanation:

Its right. Sorry need the points.

Given:

Base length of triangle = 40 units

Height of triangle = 9 units

Length of hypotenuse of triangle = 41 units

To find:

Find the value of Tan A

Steps:

Tan of an angle is equal to the opposite length by adjacent length.

So,

Tan A = [tex]\frac{opposite}{adjacent}[/tex]

Tan A = [tex]\frac{9}{40}[/tex]

Tan A = 0.225

Therefore, the exact value of Tan A is 0.225.

Happy to help :)

If you need any help, feel free to ask

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15

Answer:

(a) 0.0072

(b) 7.15 x 10^7

Step-by-step explanation:

Numbers less than 1 have a negative exponent

- those greater than 1 have a positive exponent.

The first part of standard form  has values between 0 and 10.

Answer:

A. 11.25

Step-by-step explanation:

If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]

Therefore, the coordinate of point C = (11.25, 15.75)

The x coordinate of point C is 11.25

Answer:

A. a cube

B. a square prism

C. a rectangular prism

Step-by-step explanation:

The net of a given shape is the description of  its three dimensional surfaces  in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;

i. a cube

ii. a square

iii. a rectangular prism

The three options above have surfaces that could either be squares or rectangles.

Answer:

the answer is 20

Step-by-step explanation:i

hope it helps