The measures of the angles of a triangle are have the ratio 3:3:4. What are the measures of the angles?

54°, 54° and 72°

Step-by-step explanation:

The sum of three angles in a triangle is 180°

i.e A + B + C = 180°

The ratio 3 : 3 : 4 represent the measure of each. So, (3 + 3 + 4 = 10)

- For 1st angle in triangle

(3 /10) x 180° = 54°

For 2nd angle in triangle

(3 /10) x 180° = 54°

For 3rd angle in triangle

(4 /10) x 180° = 72°

Since the sum: 54° + 54° + 72° = 180°

Thus, the measures of the three angles are 54°, 54° and 72°

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.