Answer:
40 degrees
Step-by-step explanation:
The given trapezoid ABCD is shown in the figure, in which sides BC and AD are parallel.
Angle CBD=24 degrees.
Angle BAD=116 degrees.
As the diagonal BD cuts the two parallel sides BC and AD, so
Angle CBD = Angle ADB [alternate angles]
So, Angle ADB= 24 degrees.
Now, in the triangle ABD, the sum of all the three angles,
Angle ABD + Angle ADB + Angle BAD =180 degrees.
Angle ABD + 24 degrees + 116 degrees =180 degrees
So, Angle ABD= 180 - 24 - 116= 40 degrees.
Hence, Angle ABD = 40 degrees.
Answer:
We have 252 different schedules.
Step-by-step explanation:
We know that as a freshman, suppose you had to take two of four lab science courses, one of two literature courses, two of three math courses, and one of seven physical education courses.
So from 4 lab science courses we choose 2:
So from 2 literature courses we choose 1:
So from 3 math courses we choose 2:
So from 7 physical education courses we choose 1:
We get: 6 · 2 · 3 · 7 = 252
We have 252 different schedules.