Answer:
C
) translate ∠MRS down and to the right
Step-by-step explanation:
MN and JK are parallel and are intersected by line QT.
Since MN and JK are parallel and are intersected by line QT So, ∠MRS and ∠JST are corresponding angles
So, ∠MRS = ∠JST (Corresponding angles are equal)
Now transformation could be used to show that ∠MRS is congruent to ∠JST
So, Wee need to translate ∠MRS down and to the right
Then it will overlap ∠JST
So, Option C is true .
Answer:
(a)0.34
(b)0.5
(c)0.185
(d)0.544
(e)0.655
(f)Not disjoint events
(g)Independent events
Step-by-step explanation:
The summary of education levels among party lines is given in the table below

(a)Probability a randomly selected participant has a college degree.
The probability a randomly selected participant has a college degree is:

(b)The probability that a randomly selected participant is a democrat.

(c)The probability that a randomly selected participant is a democrat and has a college degree.

(d)Probability of being a democrat given that the participant has a college degree.

(e)The probability of begin a democrat or having a college degree
Number of Democrats =100
Number of Those with College degrees = 68
Number of democrats with College degrees =37
Therefore:
Probability of begin a democrat or having a college degree

(f)The event of having a college degree and being a democrat are not disjoint events as there are some democrats who have a college degree.
(g)The event of having a college degree and being a democrat are independent events as the outcome of one does not affect the other.
Answer:
x = 4.25
Step-by-step explanation:
The given equation of line is :
4(2x-5)+6=-3(-4x+8)-7
Solving LHS,
4(2x-5)+6 = 8x-20+6
= 8x-14
Solving RHS,
-3(-4x+8)-7 = 12x-24-7
= 12x-31
So,
8x-14 = 12x-31
Taking like terms together,
8x-12x = -31+14
-4x = -17
x = 4.25
So, the value of x is equal to 4.25.
I think it is 0 because they cancel each other out!
Answer:
7.071
Step-by-step explanation:
= 50
= 
= 7.071