Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many pages he needs to write. Darryl’s work is shown below. Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction

Step 2: Write an equivalent ratio using the number of pages done so far. StartFraction 60 Over 100 EndFraction = StartFraction 12 Over question mark EndFraction

Step 3: Rewrite as: 12 (100) divided by 60.

Step 4: 120 divided by 60 = 2

What mistake did Darryl make?
In Step 1, Darryl should have written the ratio as StartFraction 100 Over 60 EndFraction.
In Step 2, Darryl should have put 12 in the denominator.
In Step 3, Darryl should have multiplied 60 and 100.
In Step 4, Darryl multiplied 12 and 100 incorrectly.

its 50 miles away from the starting point

its adding 5.5 each time

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