Answer: The length of side RT and side NQ is 51 units.
Step-by-step explanation:
Given : Δ RST ≅ Δ NPT
RT=7x-5 , NQ= 5x+11
To find: RT =? and NQ=?
Solution:
Since, given triangles are congruent .And Congruent triangles have equal sides.
≅
So,
RT= NQ = 7x-5 = 5x+11
Solving for x we get ,x = 8
RT =7x-5 = 7 × (8) - 5 = 51 units
NQ = 5x+11 = 5 × (8) + 11 = 51 units
<u>Answer:</u>
x = ±5
<u>Step-by-step explanation:</u>
We are given the following polynomial function and we are to find all of its real roots:
Let so we can now write it as:
Factorizing it to get:
Substitute back to get:
The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.
Answer: There are 4 people who only go to the game on Saturday.
Step-by-step explanation:
Let the number of people go on Saturday be n(A).
Let the number of people go on Sunday be n(B).
Since we have given that
n(A) = 8
n(B) = 12
n(A∪B) = 16
According to rules, we get that
So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4
Hence, there are 4 people who only go to the game on Saturday.