Answer:

Step-by-step explanation:
GIVEN : In ΔPQR
S is the mid point of QP
U is the mid point of PR
T is the mid point of QR
Solution :
i) is true i.e 
Refer the attached file
By mid segment theorem i.e. In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .
UT is the line joining the two mid points . So, by theorem given above UT is parallel to PQ and 1/2QP=UT.
So, (i) statement is true i.e. 
Based on the calculations, the slowest rate is equal to 4 gallons per minute.
<u>Given the following data:</u>
- Distance from shore = 12 km.
- In-rate = 3 gallons per minute.
- Rowing rate = 24 km per hour.
<h3>How to calculate the slowest rate.</h3>
Let's assume the boat would sink if it takes in more than 20 gallons of water.
<u>Conversion:</u>
- 24 km/h to km/min =
= 0.4 km/min.
Translating the word problem into an algebraic expression, we have;

Therefore, the slowest rate is equal to 4 gallons per minute.
Read more on distance here: brainly.com/question/10545161
Answer:
21 degrees
Step-by-step explanation:
all u have to do is just subtract 11 from 32 and u get your answer hope this helped
Answer:
radius = 6 cm
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V =
πr³ ← r is the radius
Given V = 288π, then
πr³ = 288π
Multiply both sides by 3 to clear the fraction
4πr³ = 864π ( divide both sides by 4π )
r³ = 216 ( take the cube root of both sides )
r =
= 6
Thus the radius of the sphere is 6 cm
<span>The probability she failed the interview is: 1 - probability she passed the interview.
P( failed 1st interview) = 1 - 0.9 = 0.1
P(failed 2nd interview) = 1 - 0.8 = 0.2.
P(failed 3rd interview) = 1 - 0.7 = 0.3
So we have that if she didn't get the job, the probability that she failed the second interview is 0.2</span>