Please help me with my homework! A golfer played in a tournament. His scores are shown in the table.

Use the data set to select all true statements.

A. The sum of scores of all 4 days is +1.

B. The difference between scores from day 2 and day 4 is +4.

C. The difference between scores for day 1 and day 2 has an absolute value of 4.

D. The scores on day 1 and day 4 are additive inverses.

A, C, and D

Step-by-step explanation:

A. Adding up all the numbers gives you a sum of +1 so this is correct.

B. Day 2 has a score of +3 and Day 4 has a score of +1. The difference between those two is +2, not +4 so this is incorrect.

C. Day 1 has a score of -1 and Day 2 has a score of +3. The difference between those two is +4. The absolute value of +4 is +4 so this is correct.

D. Day 1 has a score of -1 and Day 4 has a score of +1. An additive inverse is a value with an opposite sign. One is positive and the other is negative so this is correct.

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.  

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