Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

Answer:
The image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts tThe image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts t
Step-by-step explanation:
3*4 + 1*5 / 5*4=
12+5/20=
17/20
Answer:
49% probability that a graduate is offered fewer than two jobs
Step-by-step explanation:
We have these following probabilities:
5% probabilities of not being offered a job
44% probability of receiving one job offer
28% probability of received two job offers.
23% probability of receiving three job offers.
Determine the following probabilities: A. P(A graduate is offered fewer than two jobs)
Zero or one
5 + 44 = 49%
49% probability that a graduate is offered fewer than two jobs
All the common factors of 24, 64, 88 are 1, 2, 4, 8