If BC = 8x, CD = 2x, and BD = 10, what is BC? Simplify your answer

BC = 8x

CD = 2x

BD = 10

BC + CD > BD

8x + 2x > 10

10x > 10

x > 1

BC + BD > CD

8x + 10 > 2x

8x - 2x > -10

6x > -10

x > -10/6

BD + CD > BC

10 + 2x > 8x

10 > 6x

x < 10/6

Thus x lies between 1 and 1.6

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19