The measure of an exterior angle of triangle is 84 degrees. the measure of one of its remote interior angles is 22 degrees. what are the measures of the other two interior angles of the triangle?

62° and 96°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

Let x be the other remote interior angle, then

22 + x = 84 ( subtract 22 from both sides )

x = 62

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 known angles from 180 for third angle

third angle = 180 - (62 + 22) = 180 - 84 = 96

The other 2 interior angles are 62° and 96°

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

this is answer of 144 cubic meters