Answer:
Step-by-step Explanation:
Extend the sides AD and BP. This creates 2 congruent triangles using ASA. Triangles CBP and adjacent triangle are also congruent bc of ASA. This makes 3 congruent triangles (transitivity). That means just finding the area of the constructed large triangle, you find the area of the parallelogram. Since point P is the midpoint of B_, P_ also equals 9. Using the formula for the area of a triangle, and Pythagorean theorem (9-12-15), 12*18/2=108, which is the area of the parallelogram.
Answer:M = A + |B|.
Step-by-step explanation:The maximum value of the function is M = A + |B|. This maximum value occurs whenever sin x = 1 or cos x = 1. The minimum value of the function is m = A ‐ |B|. This minimum occurs whenever sin x = −1 or cos x = −1.
Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:
To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:
The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:
The nearest answer is C. 5 weeks.
Answer:
m∠BAD
Step-by-step explanation:
Hello!
The measure of Angle BAD is the same as the sum of angles BAC and CAD.
- m∠BAD = m∠BAC + m∠CAD
- m∠BAD = 31° + 24°
- m∠BAD = 55°
The measure of Angle BAD is 55°.
Answer:
8/17
Step-by-step explanation:
opposite = hypotenuse
opposite = 8
hypotenuse =17