Answer:
The probability of choosing a professor or an instructor is 47.22%.
Step-by-step explanation:
Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:
11 + 12 + 7 + 6 = 100
11 + 6 = X
36 = 100
17 = X
17 x 100/36 = X
1700/36 = X
47.22 = X
The probability of choosing a professor or an instructor is 47.22%.
C. trapezoid
a trapezoid's legs are congruent, while the bases are symmetrical
a square is the answer you would want, because it is always true, while a trapezoid is only "sometimes" true
thanks Kaikers :D
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
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<em>Check</em>
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
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