Find m right answers only pls thx :D

Explanation:

The smaller angles AOB and BOC combine to the largest angle AOC

By the angle addition postulate, we can say,

(angleAOB) + (angleBOC) = (angleAOC)

(3x+4) + (8x-28) = 108

11x-24 = 108

11x = 108+24 adding 24 to both sides

11x = 132

x = 132/11 dividing both sides by 11

x = 12

We can use this x value to find each angle

angle AOB = 3x+4 = 3*12+4 = 40 degrees

angle BOC = 8x-28 = 8*12-28 = 68 degrees

As a check,

(angleAOB)+(angleBOC) = (40)+(68) = 108

which matches with the measure of angle AOC. This confirms our answers.

Step-by-step explanation:

answer: hey there,

the answer you are looking for is a..

hope this you!

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