Which pair of angles must be supplementary?

2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2

( 3x - 12 / 9x^2 ) ÷ ( x - 4 / 3x ) =

( 3x - 12 / 9x^2 ) × ( 3x / x - 4 ) =

( 3 ( x - 4 ) / 3 × 3x × x ) × ( 3x / x - 4 ) =

( x - 4 / 3x × x ) × ( 3x / x - 4 ) =

( x - 4 ) × 3x / ( x - 4 ) × 3x × x =

1 / x

Thus the correct answer is option A .

Answer:

hope this helps you out

it's 21 a or b

you can choose witch one you want to use

Step-by-step explanation:

there is 2 possible answers

The range of the given numbers in the data set is 29.

Range is the difference between the highest and lowest values of a set of observations.Range is a measure of variation.

Range = highest value - lowest value

68 - 39 = 29

To learn more about range, please check: https://brainly.com/question/12372689

Answer:

Step-by-step explanation:

Equation of the function is,

f(x) = 2x² + 20x + 54

To convert the function in the form of f(x) = a(x - h)² + k

f(x) = 2(x² + 10x) + 54

     = 2[x² + 2(5x) + 25 - 25] + 54

     = 2[x² + 2(5x) + 5²] + 54 - 50

     = 2(x + 5)² + 4

     = 2[(x - (-5)]² + 4

Vertex of the quadratic equation (parabola) will be (-5, 4)

Therefore, f(x) has a minimum value at x = -5,

f(-5) = 4

"The function f(x) has a minimum value of 4, which occurs when x = 5"

Answer:

40%

Step-by-step explanation:

percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100

change in miles ran = new personal record - initial personal record

14 - 10 = 4

(4/10) x 100 = 40%

Answer:

[tex]x = - 16[/tex]

Step-by-step explanation:

Let's solve:

[tex] \frac{3}{4} x = - 12[/tex]

Step 1: Multiply both sides by 4/3.

[tex]( \frac{4}{3} )*( \frac{3}{4} x)=( \frac{4}{3} )*(−12)[/tex]

[tex]x = - 16[/tex]

[tex] \frac{3}{4} x = - 12 \\ \\ = > 3x = - 12 \times 4 \\ \\ = > x = \frac{ \cancel{- 12} \times 4}{ \cancel3} \\ \\ = > x = - 4 \times 4 \\ \\ = > x = 16[/tex]

Answer:

im not exactly sure what you mean but is it

8 < 4

sorry if this didn't help

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

7(-3) - 8 = -21 - 8 = -29

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

Answer:

6 feet.

Step-by-step explanation:

You can read this from the graph.

Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

Answer:

$261.8 Is how much you take home.

Step-by-step explanation:

(* is multiply)

In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5

23% of 340 is 78.2 ( 340 * 0.23)

Subtract 340 by 78.2, and you get your net pay, 261.8

Another way to do this is subtract 100% by 23%.

so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep

so 340 * 0.77 = 261.8

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

Answer:

Exact volume: 804.24772

Approximate volume: 804.248

Step-by-step explanation:

V = 1/3hπr².

y = 1/2x + x where x is any real number

y= -1/3 + x where x is any real number

Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

436 ÷ 2

Using long division

436/2

4 ÷ 2 = 2

3 ÷ 2 = 1 remainder 1

We combine 1 and 6 together to give us 16

16 ÷ 2 = 8

Therefore, 436 ÷ 2 = 218

Answer:

2.36 inches

Step-by-step explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

Answer:

I think it's C because it's a whole number while the others are fractions or decimals

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

12 ft by 15 ft

Step-by-step explanation:

set up a proportion of inches over feet equals inches over feet:

.5/10 = .6/x

cross-multiply to get:

.5x = 6

x = 12

.5/10 = .75/y

cross-multiply to get:

.5y = 7.5

y = 15

Answer:

Answer: HC, HT, CT

Step-by-step explanation:

2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT

Step-by-step explanation:

.....

a = 22 × Cos( 60 )

a = 22 × 1/2

a = 11

Answer:

a = 11

Step-by-step explanation:

[tex]sin 60 = \frac{opposite}{hypotenuse} = \frac{b}{22}\\\\b = 22 \times sin 60 = 19.05[/tex]

[tex]22^2 = a^2 + b^2 \\484 = a^2 + 19.05^2\\a^2 = 484 - 362.9025\\a^2 = 121.0975\\a = \sqrt{121.0975} = 11.004[/tex]

Answer:

c 1602

Step-by-step explanation:

there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602

Answer:

Diagonal

Step-by-step explanation:

Answer:

edge

Step-by-step explanation:

A connected graph is made up of vertices and edges.

Answer:

6

Step-by-step explanation:

Replace the variables.

5(3) - 2(4.5) = ?

15 - 9 = ?

15 - 9 = 6

Answer:

66 sweets

Step-by-step explanation:

all you need to do is multiply 11 by 6 to get your answer seeing that ⅙ of the jar is 11

Answer:

idgi

Step-by-step explanation:

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

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