Answer:
Step-by-step explanation:
We are given a ΔPQR in which S is the mid point of QP , T is the mid point of QR
, U is the mid point of PR
i) is true
⇒
Using mid segment theorem which states that 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 .
So, by refering image we can see that UT is the line joining the two mid points . So, by using above theorem 1/2QP=UT and UT is parallel to PQ
Thus, (i) statement is true
⇒
Y= 24 now 3x is just 3 maybe I think cause x is a improper value
Answer: 1,800 ft.³
Step-by-step explanation: To find out how much water is needed to fill the pool, we need to find the volume of the pool. It's also important to understand that the swimming pool is a rectangular prism so we are finding the volume of a rectangular prism.
To find the volume of the pool, we use the formula shown.
<em>Volume = length × width × height </em>
Since the length of the pool is 20 feet, the width is 15 feet, and the depth or height is 6 feet we can plug this information into the formula.
Volume = (20 feet) (15 feet) (6 feet) = 1,800 ft.³
Therefore, it will take 1,800 cubic feet of water to fill the pool.
Answer:
Step-by-step explanation:
(x+3)(x+3)
distribute the x to both three and x.
x * x + 3x * 3x
add like terms.
X^2 + 9x
P(Larger or blue) = 7/10. In a bag we have blue and red marbels, which are large and small as in the table shown in the image, the probability of taking a large or blue marble is 7/10.
The key to solve this problem is find the probability of the union events using the equation P(A∪B) = P(A) + P(B) - P(A∩B).
For this problem we have P(Large or Blue) = P(Large) + P(Blue) - P(Large and Blue). The total of the large ones is 25 and the small ones is 15, meaning that the sum of both is 40. P(large) = 25/40, P(Blue) 20/40, and P(Large and Blue) = 17/40
P(Large or Blue) = 25/40 + 20/40 - 17/40 = 28/40 dividing by 4 both terms of the fraction.
P(large or Blue) = 7/10
