The degree measures of the interior angles of a concave hexagon from an arithmetic sequence. the smallest angle measures 35 degrees. how many degrees are there in the measure of the largest angle?

205°

Step-by-step explanation:

an hexagon has 6 sides.

Sum of angles in a polygon = (2n-4) * 90

for hexagon, =(2*6  - 4) *90 = 720°

Since the angles of the hexagon forms an arithmetic sequence,the angles will be;

a,a+d, a+2d, a+3d,a+4d,a+5d

a+a+d+a+2d+a+3d+a+4d+a+5d =720

6a+15d =720

15d = 720 -6a

but a= 35 degrees

15d = 720 -(6*35)

15d =510

d=34°

the largest angle is a+5d  = 35 + (5*34)

                                      = 205°

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.