Find the measure of the third angle in each of the following triangles. The triangles are not drawn to scale. a.
A triangle has two of its angles labeled 60 degrees and 60 degrees.
b.
A right triangle has the angle between the hypotenuse and one of the legs labeled 30 degrees.
a. The measure of the missing angle is
nothing. (Simplify your answer.)
b. The measure of the missing angle is
nothing. (Simplify your answer.)

A. 60 degrees

B. 60 degrees

Step-by-step explanation:

(a)

60 degrees +60 degrees + missing angle  = 180 degrees

(angle sum property of triangle)

missing angle = 180 - 120 = 60 degrees

(b)

90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees

missing angle = 60 degrees

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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.