Write out the following proportions in words. a. 7 : 28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5 write each statement as a proportion using colons. a. 4 is to 20 as 2 is to 10. b. 9 is to 27 as 2 is to 6. write each statement as a proportion using fractions. a. 25 is to 75 as 50 is to 150. b. 40 is to 90 as 8 is to 18. identify the means and the extremes in each of the following proportions. a. 4 : 24 = 2 : 12 b. 24⁄6 = 16⁄4 c. 4 : 8 = 8 : 16 d. 6⁄50 = 3⁄25 find the value of x in each of the following proportions. a. 6 : 9 = x : 72 b. 8⁄3 = 40⁄x c. x : 55 = 3 : 5 d. 33⁄x = 11⁄5 a recipe calls for 5 cups of flour for every 6 teaspoons of salt. if you wanted to make a larger batch of the same recipe with 15 cups of flour, how much salt would you need? a 20-foot flagpole casts a 6-foot shadow. how tall is a nearby building that casts a 30-foot shadow? for every 15 columns of news stories in a newspaper, 4 columns of ads are required. if a newspaper contains 300 columns of news stories, how many columns of ads must it have? a certain color paint should have a mix of blue and green in a ratio of 5: 2. if a house painter needs to use 8 gallons of green paint, how many gallons of blue paint should he mix with it in order to obtain the right color?

hit or miss i guess they never miss huh

step-by-step explanation:

you got a boyfriend i bet he doesnt kiss ya

d

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)