Answer:
1.
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:

Upon substituting our given values we will get,
Cross multiplying our equation we will get,





Therefore, the length of AD is
units and 1st option is the correct choice.
Answer:
270 students is the highest number of students that can attend the Planetarium field trip each day
Step-by-step explanation:
Here, we want to know the highest number of students that can attend the planetarium each day
from the question;
The highest number per group is 15 students
The highest number of group is 18 groups
So the highest number of attendees will be;
15 * 18 = 270 students
The answer to your question is choice C.
Answer:
∠RPQ = 53°
Step-by-step explanation:
∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,
∠SPR + ∠RPQ = 90°
We know that ∠SPR = 37°, so
37° + ∠RPQ = 90°
∠RPQ = 90° - 37°
∠RPQ = 53°
The answer would be 29 because 9 + 36 = 45 - 16 equals 28